Internet Draft David M'Raihi VeriSign Category: Johan Rydell Informational PortWise Document: David Naccache draft-mraihi-mutual-oath-hotp-variants-04.txt ENS Salah Machani Diversinet Siddharth Bajaj VeriSign Expires: April 2007 October 2006 OCRA: OATH Challenge-Response Algorithms Status of this Memo By submitting this Internet-Draft, each author represents that any applicable patent or other IPR claims of which he or she is aware have been or will be disclosed, and any of which he or she becomes aware will be disclosed, in accordance with Section 6 of BCP 79. Internet-Drafts are working documents of the Internet Engineering Task Force (IETF), its areas, and its working groups. Note that other groups may also distribute working documents as Internet-Drafts. Internet-Drafts are draft documents valid for a maximum of six months and may be updated, replaced, or obsoleted by other documents at any time. It is inappropriate to use Internet-Drafts as reference material or to cite them other than as "work in progress". The list of current Internet-Drafts can be accessed at http://www.ietf.org/1id-abstracts.html The list of Internet-Draft Shadow Directories can be accessed at http://www.ietf.org/shadow.html Abstract This document describes the OATH algorithm for challenge-response authentication and signatures. This algorithm is based on the HOTP algorithm [RFC4226] that was introduced by OATH (initiative for Open AuTHentication) [OATH] and submitted as an individual draft to the IETF last year. OATH-HOTP-VARIANTS Expires - Mar 2007 [Page 1] OCRA: OATH Challenge Response Algorithms September 2006 Table of Contents 1. Introduction...............................................3 2. Requirements Terminology...................................3 3. Algorithm Requirements.....................................3 4. OCRA Background............................................4 4.1 HOTP Algorithm.............................................4 4.2 OCRA Algorithm.............................................5 5. Definition of OCRA.........................................5 5.1 DataInput Parameters........................................6 5.2 CryptoFunction..............................................6 6. The OCRASuite..............................................7 7. Algorithm Modes for Authentication.........................8 7.1. One way Challenge-Response.................................8 7.2. Response Only (OTP) Mode...................................9 7.3. Mutual Challenge-Response.................................10 8. Algorithm Modes for Signature.............................11 8.1 Plain Signature...........................................11 8.2 Signature with Server Authentication......................12 9. Security Considerations...................................14 9.1 Security Analysis of the OCRA algorithm....................14 9.2 Implementation Considerations..............................14 10. IANA Considerations.......................................15 11. Conclusion................................................15 12. Acknowledgements..........................................16 13. References................................................16 13.1. Normative................................................16 13.2. Informative..............................................16 Appendix A: Code Source........................................17 Appendix B: Test Vectors.......................................19 14. Authors' Addresses........................................21 15. Full Copyright Statement..................................22 16. Intellectual Property.....................................22 OATH-HOTP-VARIANTS Expires - March 2007 [Page 2] OCRA: OATH Challenge Response Algorithms September 2006 1. Introduction OATH has identified several use cases and scenarios that require an asynchronous variant to accommodate users who do not want to maintain a synchronized authentication system. The commonly accepted method for this is to use a challenge-response scheme. Such challenge response mode of authentication is widely adopted in the industry. Several vendors already offer software applications and hardware devices implementing challenge-response - but each of those uses vendor-specific proprietary algorithms. For the benefits of users we need a standardized challenge-response algorithm to allow multi-sourcing of token purchases and validation systems to facilitate the democratization of strong authentication. Additionally, this specification can also be used to create symmetric key based digital signatures. Such systems are variants of challenge-response mode where the data to be signed becomes the challenge. 2. Requirements Terminology The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT", "SHOULD", "SHOULD NOT", "RECOMMENDED", "MAY", and "OPTIONAL" in this document are to be interpreted as described in RFC 2119 [RFC2119]. 3. Algorithm Requirements This section presents the main requirements that drove this algorithm design. A lot of emphasis was placed on flexibility and usability, under the constraints and specificity of the HOTP algorithm and hardware token capabilities. R1 - The algorithm MUST support asynchronous challenge-response based authentication. R2 - The algorithm MUST be capable of supporting symmetric key based digital signatures. Essentially this is a variation of challenge-response where the challenge is derived from the data that needs to be signed. R3 - The algorithm MUST be capable of supporting server- authentication, whereby the user can verify that he/she is talking to a valid server. R4 - The algorithm SHOULD use HOTP [RFC4226] as a key building block. OATH-HOTP-VARIANTS Expires - March 2007 [Page 3] OCRA: OATH Challenge Response Algorithms September 2006 R5 - The length and format for the input challenge SHOULD be configurable. R6 - The output length and format for the response SHOULD be configurable. R7 - The challenge MAY be generated with integrity checking (e.g., parity bits). This will allow tokens with pin pads to perform simple error checking if the user enters the value into a token. R8 - There MUST be a fixed randomly generated secret (key) for each token/soft token that is shared between the token and the authentication server. R9 - The algorithm MUST enable additional data attributes such as a counter, a time function or session information to be included in the computation. These data inputs MAY be used individually or all together. 4. OCRA Background OATH introduced the HOTP algorithm as a first open, freely available building block toward hardening authentication for end- users in a variety of applications. One-time passwords are very efficient at solving specific security issues thanks to the dynamic nature of OTP computations. After carefully analyzing different use cases, OATH came to the conclusion that providing for extensions to the HOTP algorithms was important. A very natural extension is to introduce a challenge mode for computing HOTP values based on random questions. Equally beneficial, being able to perform mutual authentication between two parties, or short-signature computation for authenticating transaction was also identified as critical for improving the security of e-commerce applications. This section summarizes the HOTP algorithm and then, formally introduces the OCRA algorithm. 4.1 HOTP Algorithm The HOTP algorithm, as defined in [RFC4226] is based on an increasing counter value and a static symmetric key known only to the prover and verifier parties. As a reminder: HOTP(K,C) = Truncate(HMAC-SHA1(K,C)) OATH-HOTP-VARIANTS Expires - March 2007 [Page 4] OCRA: OATH Challenge Response Algorithms September 2006 Where Truncate represents the function that converts an HMAC-SHA-1 value into an HOTP value. The Key (K), the Counter (C) and Data values are hashed high-order byte first. The HOTP values generated by the HOTP generator are treated as big endian. We refer the reader to [RFC4226] for the full description and further details on the rationale and security analysis of HOTP. The present draft describes the different variants based on similar constructions as HOTP. 4.2 OCRA Algorithm In a nutshell, OCRA is a generalization of HOTP with variable data inputs not solely based on an incremented counter and secret key values. OCRA = CryptoFunction(K, DataInput) Where: - K: a shared secret key known to both parties; - CryptoFunction: this is the function performing the OCRA computation from the secret key K and DataInput material; CryptoFunction is described in details in section 5.2; - DataInput: a structure that contains the concatenation of the various input data values. Defined in details in section 5.1. 5. Definition of OCRA The definition of OCRA requires a cryptographic function, a key K and a set of DataInput parameters. This section introduces these definitions and default value recommended for all the parameters. We denote L as the byte-length of the CryptoFunction output. For instance, if CryptoFunction was SHA-1, then L = 20. We denote B as the byte-length of the blocks manipulated by the core function internally. For instance if CryptoFunction was HMAC- SHA-1, then B = 64 since SHA-1 manipulates 64-byte blocks. We denote t as the byte-length of the truncation output. For instance, if t = 6, then the output of the truncation is a 6-byte value. OATH-HOTP-VARIANTS Expires - March 2007 [Page 5] OCRA: OATH Challenge Response Algorithms September 2006 5.1 DataInput Parameters This structure is the concatenation of all the parameters used in the computation of the OCRA values, save for the secret key K. DataInput = {Q | C | P | S | T} where: . Q is the list of (concatenated) challenge question(s) generated by the verifier(s);the questions SHOULD be L-byte values and MUST be at least t-byte values; . C is a 8-byte counter value processed high-order bit first, and MUST be synchronized between all parties; . P is a SHA1-hash of PIN/password that is known to all parties during the execution of the algorithm; . S is a string that contains information about the current session; . T is a timestamp value, UTC formatted. When computing a response, the concatenation order is always the following: OTHER-PARTY-GENERATED-CHALLENGE-QUESTION YOUR-GENERATED-CHALLENGE-QUESTION C, P, S and then T values. If a value is empty (i.e. a certain input is not used in the computation) then the value is simply not represented in the string. 5.2 CryptoFunction The default CryptoFunction is HOTP-SHA1-6, i.e. the default mode of computation for OCRA is HOTP with the default 6-digit dynamic truncation and a combination of DataInput values as the message to compute the HMAC-SHA1 digest. We define the HOTP family of functions as an extension to HOTP: - HOTP-H-t: these are the different possible truncated versions of HOTP, using the dynamic truncation method for extracting an HOTP value from the HMAC output; - We will denote HOTP-H-t as the realization of an HOTP function that uses an HMAC function with the hash function H, and the dynamic truncation as described in [RFC 4226] to extract a t-byte value; - t=0 means that no truncation is performed and the full HMAC value is used for authentication purpose. OATH-HOTP-VARIANTS Expires - March 2007 [Page 6] OCRA: OATH Challenge Response Algorithms September 2006 We list the following preferred modes of computation, where * denotes the default CryptoFunction: . HOTP-SHA1-4: HOTP with SHA-1 as the hash function for HMAC and a dynamic truncation to a 4-digit value; this mode is not recommended in the general case but can be useful when a very short authentication code is needed by an application; . *HOTP-SHA1-6: HOTP with SHA-1 as the hash function for HMAC and a dynamic truncation to a 6-digit value; . HOTP-SHA256-6: HOTP with SHA-1 as the hash function for HMAC and a dynamic truncation to a 6-digit value; . HOTP-SHA512-6: HOTP with SHA-1 as the hash function for HMAC and a dynamic truncation to a 6-digit value; This table summarizes all possible values for the CryptoFunction: Name HMAC Function Used Size of Truncation (t) -------------------------------------------------------------- HOTP-SHA1-t HMAC-SHA1 0 (no truncation), 4-10 HOTP-SHA256-t HMAC-SHA256 0 (no truncation), 4-10 HOTP-SHA512-t HMAC-SHA512 0 (no truncation), 4-10 6. The OCRASuite The following values define the OcraSuite codes used in the description of modes of operation for the OCRA algorithm. An OCRASuite value defines an OCRA suite of operations as supported in the present draft and is represented as follows: Algorithm-CryptoFunction-DataInput Algorithm --------- Description: Indicates the OCRA algorithm (possibly authenticated) Values: String MUST contains OCRA and optionally, the OCRA computed value of the string CryptoFunction -------------- Description: Indicated the function used to compute OCRA values Values: As described in previous section; other values COULD be added in the future OATH-HOTP-VARIANTS Expires - March 2007 [Page 7] OCRA: OATH Challenge Response Algorithms September 2006 DataInput --------- Description: List of valid inputs for the computation; [] indicates a value is optional. Values: Q | [C | P | S | T]: Challenge-Response computation C | [P]: Response-only (OTP) computation Q | [C | P | T]: Plain Signature computation Example of possible values: OCRA-HOTP-SHA512-8-C-P-Q means OCRA algorithm with HMAC-SHA512 function, truncated to an 8-digit value, using the counter, hash of the PIN/Password and a random challenge as parameter, the other party MUST check the value received before computing and sending his response. 7. Algorithm Modes for Authentication In this section we describe the typical modes in which the above defined computation can be used for authentication. 7.1. One way Challenge-Response A challenge/response is a security mechanism in which the verifier presents a question (challenge) to the prover who must provide a valid answer (response) to be authenticated. To use this algorithm for a one-way challenge-response, the verifier will communicate a challenge value (typically randomly generated) to the prover. The prover will use the challenge in the computation as described above. The prover then communicates the response to the verifier to authenticate. Therefore in this mode, the typical data inputs will be: Q - Challenge question, mandatory, supplied by the verifier. C - Counter, optional. P - Hashed version of PIN/password, optional. S - Session information, optional T - Timestamp, optional. The picture below shows the messages that are exchanged between the client (prover) and the server (verifier) to complete a one-way challenge-response authentication. We assume that the client and server have a pre-shared key K that is used for the computation. OATH-HOTP-VARIANTS Expires - March 2007 [Page 8] OCRA: OATH Challenge Response Algorithms September 2006 CLIENT SERVER (PROVER) (VERIFIER) | | | Verifier sends challenge to prover | | Challenge = Q | |<------------------------------------------| | | | Prover Computes Response | | R = OCRA(K, {Q| [C | P | S | T]}) | | Response = R | |------------------------------------------>| | | | Verifier Validates Response | | Response = OK | |<------------------------------------------| | | 7.2. Response Only (OTP) Mode Response Only mode is a variation of one-way challenge-response where the challenge is implicitly derived. In order to implicitly derive the challenge, the verifier and the prover need to maintain a moving factor that is synchronized. Commonly used moving factors include a counter, time or combination of both. To use this algorithm, the prover will use the implicit challenge in the computation as described above. The prover then communicates the response to the verifier to authenticate. Therefore in this mode, the data inputs will be: C - Counter mandatory. P - Hashed version of PIN/password, optional. The picture below shows the messages that are exchanged between the client (prover) and the server (verifier) to complete a response only authentication. We assume that the client and server have a pre-shared key K that is used for the computation. OATH-HOTP-VARIANTS Expires - March 2007 [Page 9] OCRA: OATH Challenge Response Algorithms September 2006 CLIENT SERVER (PROVER) (VERIFIER) | | | | | Prover Computes Response | | R = OCRA(K, C | [P]) | | Response = R | |------------------------------------------>| | | | Verifier Validates Response | | Response = OK | |<------------------------------------------| | | 7.3. Mutual Challenge-Response Mutual challenge-response is a variation of one-way challenge- response where both the client and server and mutually authenticate each other. To use this algorithm, the client will first send a random client- challenge to the server. The server computes the server-response and sends it to the client along with a server-challenge. The client will first verify the server-response to authenticate that it is talking to a valid server. It will then compute the client-response and send it to the server to authenticate. The server verifies the client-response to complete the two-way authentication process. In this mode there are two computations: client-response and server-response. There are two separate challenge questions, generated by both parties. We denote these challenge questions Q1 and Q2. Typical data inputs for server-response computation will be: Q1 - Challenge question, mandatory, supplied by the client. Q2 - Challenge question, mandatory, supplied by the server. C - Counter, optional. S - Session information, optional. T - Timestamp, optional. Typical data inputs for client-response computation will be: Q2 - Challenge question, mandatory, supplied by the server. Q1 - Challenge question, mandatory, supplied by the client. C - Counter, optional. P - Hashed version of PIN/password, optional. S - Session information, optional. T - Timestamp, optional. OATH-HOTP-VARIANTS Expires - March 2007 [Page 10] OCRA: OATH Challenge Response Algorithms September 2006 The following picture shows the messages that are exchanged between the client and the server to complete a two-way mutual challenge- response authentication. We assume that the client and server have a pre-shared key K that is used for the computation. CLIENT SERVER | | | 1. Client sends client-challenge | | Q1 = Client-challenge | |------------------------------------------>| | | | 2. Server computes server-response | | and sends server-challenge | | R1 = OCRA(K, Q1 | Q2 | [C | S | T]) | | Q2 = Server-challenge | | Response = R1, Q2 | |<------------------------------------------| | | | 3. Client verifies server-response | | and computes client-response | | OCRA(K, Q1, Q2,[C,S,T]) != R1 -> STOP | | R2 = ORCA( K,Q2 | Q1 | [C | P | S | T])| | Response = R2 | |------------------------------------------>| | | | 4. Server verifies client-response | | OCRA(K, Q2|Q1|[C|P|S|T]) != R2 -> STOP | | Response = OK | |<------------------------------------------| | | 8. Algorithm Modes for Signature In this section we describe the typical modes in which the above defined computation can be used for digital signatures. 8.1 Plain Signature To use this algorithm in plain signature mode, the server will communicate a signature-challenge value to the client (signer). The signature-challenge is either the data to be signed or derived from the data to be signed using a hash function, for example. OATH-HOTP-VARIANTS Expires - March 2007 [Page 11] OCRA: OATH Challenge Response Algorithms September 2006 The client will use the signature-challenge in the computation as described above. The client then communicates the signature value (response) to the server to authenticate. Therefore in this mode, the data inputs will be: Q - Signature-challenge, mandatory, supplied by the server. C - Counter, optional. P - Hashed version of PIN/password, optional. T - Timestamp, optional. The picture below shows the messages that are exchanged between the client (prover) and the server (verifier) to complete a plain signature operation. We assume that the client and server have a pre-shared key K that is used for the computation. CLIENT SERVER (PROVER) (VERIFIER) | | | Verifier sends signature-challenge | | Challenge = Q | |<------------------------------------------| | | | Client Computes Response | | SIGN = OCRA(K, Q | [C | P | T]) | | Response = SIGN | |------------------------------------------>| | | | Verifier Validates Response | | Response = OK | |<------------------------------------------| | | 8.2 Signature with Server Authentication This mode is a variation of the plain signature mode where the client can first authenticate that it is talking to a valid server before creating a digital signature. To use this algorithm, the client will first send a random client- challenge to the server. The server computes the server-response and sends it to the client along with a signature-challenge. The client will first verify the server-response to authenticate that it is talking to a valid server. It will then compute the signature and send it to the server. OATH-HOTP-VARIANTS Expires - March 2007 [Page 12] OCRA: OATH Challenge Response Algorithms September 2006 In this mode there are two computations: client-signature and server-response. Typical data inputs for server-response computation will be: Q - Challenge question, mandatory, supplied by the client. C - Counter, optional. T - Timestamp, optional. Typical data inputs for client-signature computation will be: Q - Signature-challenge, mandatory, supplied by the server. P - Hashed version of PIN/password, optional. C - Counter, optional. T - Timestamp, optional. The picture below shows the messages that are exchanged between the client and the server to complete a signature with server authentication transaction. We assume that the client and server have a pre-shared key K that is used for the computation. CLIENT SERVER | | | 1. Client sends client-challenge | | Q1 = Client-challenge | |------------------------------------------>| | | | 2. Server computes server-response | | and sends signature-challenge | | R1 = OCRA(K, Q1 | Q2 | [C | T]) | | Q2 = signature-challenge | | Response = R1, Q2 | |<------------------------------------------| | | | 3. Client verifies server-response | | and computes signature | | OCRA(K, Q1 | [T | C]) != R1 -> STOP | | R2 = ORCA( K, Q2 | Q1 | [C | P | T]) | | Signature = R2 | |------------------------------------------>| | | | 4. Server verifies Signature | | OCRA(K, Q2|Q1| [C|P|T]) != R2 -> STOP | | Response = OK | |<------------------------------------------| | | OATH-HOTP-VARIANTS Expires - March 2007 [Page 13] OCRA: OATH Challenge Response Algorithms September 2006 9. Security Considerations Any algorithm is only as secure as the application and the authentication protocols that implement it. Therefore, this section discusses the critical security requirements that our choice of algorithm imposes on the authentication protocol and validation software. 9.1 Security Analysis of the OCRA algorithm The security and strength of this algorithm depends on the properties of the underlying building block HOTP, which is a construction based on HMAC [RFC2104] using SHA-1 as the hash function. The conclusion of the security analysis detailed in [RFC4226] is that, for all practical purposes, the outputs of the dynamic truncation on distinct counter inputs are uniformly and independently distributed strings. The analysis demonstrates that the best possible attack against the HOTP function is the brute force attack. 9.2 Implementation Considerations In the authentication mode, the client MUST support two-factor authentication, i.e., the communication and verification of something you know (secret code such as a Password, Pass phrase, PIN code, etc.) and something you have (token). The secret code is known only to the user and usually entered with the Response value for authentication purpose (two-factor authentication). Alternatively, instead of sending something you know to the server, the client may use a hash of the Password or PIN code in the computation itself, thus implicitly enabling two-factor authentication. The keys for HOTP can be of any length equal or longer than L bytes. Keys longer than L bytes are acceptable; they are first hashed using the supported hash function, e.g. SHA-1, to become usable. Nevertheless, the extra length would not significantly increase the cryptographic strength of OCRA, provided the randomness of the original key material is sufficient. Keys need to be chosen at random or using a cryptographically strong pseudo-random generator properly seeded with a random value. We RECOMMEND following the recommendations in [RFC1750] for all pseudo-random and random generations. The pseudo-random numbers used for generating the keys SHOULD successfully pass the randomness test specified in [CN]. OATH-HOTP-VARIANTS Expires - March 2007 [Page 14] OCRA: OATH Challenge Response Algorithms September 2006 The keys MUST be embedded in a tamper resistance device or securely implemented in a software application. Additionally, by embedding the keys in a hardware device, you also have the advantage of improving the flexibility (mobility). The challenge value MUST be randomly generated for each use of the authentication protocol and SHALL NOT be re-used. We RECOMMEND following the recommendations in [RFC1750] for all pseudo-random and random generations. All the communications SHOULD take place over a secure channel e.g. SSL/TLS, IPsec connections. The OCRA algorithm when used in mutual authentication mode or in signature with server authentication mode SHOULD use dual key mode - i.e. there are two keys that are shared between the client and the server. One shared key is used to generate the server response on the server side and to verify it on the client side. The other key is used to create the response or signature on the client side and to verify the same on the server side. We recommend that implementations MAY use the session information, S as an additional input in the computation. For example, S could be the session identifier from the TLS session. This will enable you to counter certain types of man-in-the-middle attacks. However, this will introduce the additional dependency that first of all the prover needs to have access to the session identifier to compute the response and the verifier will need access to the session identifier to verify the response. 10. IANA Considerations This document has no actions for IANA. 11. Conclusion This draft introduced several variants of HOTP for challenge- response based authentication and short signature-like computations. The OCRASuite provides for an easy integration and support of different flavors within an authentication and validation system. Finally, OCRA should enable cross-authentication both in connected and off-line modes, with the support of different response sizes and mode of operations. OATH-HOTP-VARIANTS Expires - March 2007 [Page 15] OCRA: OATH Challenge Response Algorithms September 2006 12. Acknowledgements We would like to thank Philip Hoyer, Jon Martinsson, Frederik Mennes and Stu Vaeth for their comments and suggestions to improve this draft document. 13. References 13.1. Normative [RFC2104] M. Bellare, R. Canetti and H. Krawczyk, "HMAC: Keyed-Hashing for Message Authentication", IETF Network Working Group, RFC 2104, February 1997. [RFC1750] D. Eastlake, 3rd., S. Crocker and J. Schiller, "Randomness Recommendations for Security", IETF Network Working Group, RFC 1750, December 2004. [RFC2119] S. Bradner, "Key words for use in RFCs to Indicate Requirement Levels", BCP 14, RFC 2119, March 1997. [RFC3668] S. Bradner, "Intellectual Property Rights in IETF Technology", BCP 79, RFC 3668, February 2004. [RFC4226] D. M'Raihi, M. Bellare, F. Hoornaert, D. Naccache and O. Ranen, "HOTP: An HMAC-based One Time Password Algorithm", IETF Network Working Group, RFC 4226, December 2005. 13.2. Informative [BCK] M. Bellare, R. Canetti and H. Krawczyk, "Keyed Hash Functions and Message Authentication", Proceedings of Crypto'96, LNCS Vol. 1109, pp. 1-15. [OATH] Initiative for Open AuTHentication http://www.openauthentication.org [CN] J.S. Coron and D. Naccache, "An accurate evaluation of Maurer's universal test" by Jean-Sebastien Coron and David Naccache In Selected Areas in Cryptography (SAC '98), vol. 1556 of Lecture Notes in Computer Science, S. Tavares and H. Meijer, Eds., pp. 57-71, Springer- Verlag, 1999 OATH-HOTP-VARIANTS Expires - March 2007 [Page 16] OCRA: OATH Challenge Response Algorithms September 2006 Appendix A: Code Source import java.lang.reflect.UndeclaredThrowableException; import java.security.GeneralSecurityException; import javax.crypto.Mac; import javax.crypto.spec.SecretKeySpec; /** * This an example implementation of the OATH OCRA algorithm. * Visit www.openauthentication.org for more information. * * @author Johan Rydell, PortWise */ public class OCRA { private OCRA() {} /** * This method uses the JCE to provide the crypto * algorithm. * HMAC computes a Hashed Message Authentication Code with the * crypto hash algorithm as a parameter. * * @param crypto the crypto algorithm * (HmacSHA1, HmacSHA256, HmacSHA512) * @param keyBytes the bytes to use for the HMAC key * @param text the message or text to be authenticated. */ public static byte[] hmac_sha1(String crypto, byte[] keyBytes, byte[] text) { try { Mac hmac; hmac = Mac.getInstance(crypto); SecretKeySpec macKey = new SecretKeySpec(keyBytes, "RAW"); hmac.init(macKey); return hmac.doFinal(text); } catch (GeneralSecurityException gse) { throw new UndeclaredThrowableException(gse); } } private static final int[] DIGITS_POWER // 0 1 2 3 4 5 6 7 8 = {1,10,100,1000,10000,100000,1000000,10000000,100000000}; /** * This method generates an OCRA HOTP value for the given OATH-HOTP-VARIANTS Expires - March 2007 [Page 17] OCRA: OATH Challenge Response Algorithms September 2006 * set of parameters. * * @param crypto the crypto algorithm * @param key the shared secret * @param movingFactor the counter that changes * on a per use basis * @param question the challenge question * @param password a password that can be used * @param sessionInformation Static information that * identifies the current session * @param timeStamp a value that reflects a time * @param codeDigits number of digits in the OTP * * @return A numeric String in base 10 that includes * {@link truncationDigits} digits */ static public String generateOTP(String crypto, String key, String movingFactor, String question, String password, String sessionInformation, String timeStamp, int codeDigits) { String result = null; String messageStr = question + password + sessionInformation + timeStamp ; byte[] msg; // Using the counter if (0 < movingFactor.length()){ // First 8 bytes are for the movingFactor // Complient with RFC 4226 messageStr = "00000000" + messageStr; msg = messageStr.getBytes(); long mFactor = Long.decode(movingFactor); for (int i = 7; i >= 0; i--) { msg[i] = (byte) (mFactor & 0xff); mFactor >>= 8; } }else msg = messageStr.getBytes(); // compute hmac hash byte[] hash = hmac_sha1(crypto, key.getBytes(), msg); // put selected bytes into result int OATH-HOTP-VARIANTS Expires - March 2007 [Page 18] OCRA: OATH Challenge Response Algorithms September 2006 int offset = hash[hash.length - 1] & 0xf; int binary = ((hash[offset] & 0x7f) << 24) | ((hash[offset + 1] & 0xff) << 16) | ((hash[offset + 2] & 0xff) << 8) | (hash[offset + 3] & 0xff); int otp = binary % DIGITS_POWER[codeDigits]; result = Integer.toString(otp); while (result.length() < codeDigits) { result = "0" + result; } return result; } } Appendix B: Test Vectors Plain challenge response ======================== OCRA-HOTP-SHA1-8-Q ------------------ K = 12345678901234567890 Q = 10000000 OCRA = 57953866 K = 12345678901234567890 Q = 10000001 OCRA = 15772773 K = 12345678901234567890 Q = 10000002 OCRA = 68105940 OCRA-HOTP-SHA256-8-Q -------------------- K = 12345678901234567890 Q = 10000000 OCRA = 79730854 K = 12345678901234567890 Q = 10000001 OCRA = 22925447 K = 12345678901234567890 Q = 10000002 OCRA = 15947867 OCRA-HOTP-SHA512-8-Q -------------------- K = 12345678901234567890 Q = 10000000 OCRA = 68325835 K = 12345678901234567890 Q = 10000001 OCRA = 53995836 K = 12345678901234567890 Q = 10000002 OCRA = 89008345 Response Only ============= OCRA-HOTP-SHA1-6-C ------------------ K = 12345678901234567890 C = 0 OCRA = 755224 K = 12345678901234567890 C = 1 OCRA = 287082 K = 12345678901234567890 C = 2 OCRA = 359152 OATH-HOTP-VARIANTS Expires - March 2007 [Page 19] OCRA: OATH Challenge Response Algorithms September 2006 OCRA-HOTP-SHA256-6-C -------------------- K = 12345678901234567890 C = 0 OCRA = 875740 K = 12345678901234567890 C = 1 OCRA = 247374 K = 12345678901234567890 C = 2 OCRA = 254785 OCRA-HOTP-SHA512-6-C -------------------- K = 12345678901234567890 C = 0 OCRA = 125165 K = 12345678901234567890 C = 1 OCRA = 342147 K = 12345678901234567890 C = 2 OCRA = 730102 OCRA-HOTP-SHA1-6-C-P -------------------- K = 12345678901234567890 C = 0 P = 12341234 OCRA = 106753 K = 12345678901234567890 C = 1 P = 12341234 OCRA = 747071 K = 12345678901234567890 C = 2 P = 12341234 OCRA = 714367 OCRA-HOTP-SHA256-6-C-P ---------------------- K = 12345678901234567890 C = 0 P = 12341234 OCRA = 744059 K = 12345678901234567890 C = 1 P = 12341234 OCRA = 735947 K = 12345678901234567890 C = 2 P = 12341234 OCRA = 167188 OCRA-HOTP-SHA512-6-C-P ---------------------- K = 12345678901234567890 C = 0 P = 12341234 OCRA = 249058 K = 12345678901234567890 C = 1 P = 12341234 OCRA = 738728 K = 12345678901234567890 C = 2 P = 12341234 OCRA = 556127 Mutual challenge response ========================= OCRA-HOTP-SHA512-8-Q -------------------- (From server) K = 12345678901234567890 Q1 = 11111110 Q2 = 22222220 OCRA = 70933163 (From client) K = 12345678901234567890 Q1 = 11111110 Q2 = 22222220 OCRA = 63875222 (From server) K = 12345678901234567890 Q1 = 11111111 Q2 = 22222221 OCRA = 08364053 (From client) K = 12345678901234567890 Q1 = 11111111 Q2 = 22222221 OCRA = 91844292 (From server) K = 12345678901234567890 Q1 = 11111112 Q2 = 22222222 OCRA = 70960179 OATH-HOTP-VARIANTS Expires - March 2007 [Page 20] OCRA: OATH Challenge Response Algorithms September 2006 (From client) K = 12345678901234567890 Q1 = 11111112 Q2 = 22222222 OCRA = 75789938 Plain signature =============== OCRA-HOTP-SHA512-8-Q -------------------- K = 12345678901234567890 Q (value) = 00010000 OCRA (signature) = 13175449 K = 12345678901234567890 Q (value) = 00011000 OCRA (signature) = 41866883 K = 12345678901234567890 Q (value) = 00012000 OCRA (signature) = 82912137 14. Authors' Addresses Primary point of contact (for sending comments and question): David M'Raihi VeriSign, Inc. 685 E. Middlefield Road Phone: 1-650-426-3832 Mountain View, CA 94043 USA Email: dmraihi@verisign.com Other Authors' contact information: Johan Rydell Portwise, Inc. 624 Ellis Street, Suite 102 Phone: 1-650-515-3569 Mountain View, CA 94043 USA Email: johan.rydell@portwise.com David Naccache ENS, DI 45 rue d'Ulm Phone: +33 6 16 59 83 49 75005, Paris France Email: david.naccache@ens.fr Salah Machani Diversinet Corp. 2225 Sheppard Avenue East Suite 1801 Toronto, Ontario M2J 5C2 Phone: 1-416-756-2324 Ext. 321 Canada Email: smachani@diversinet.com Siddharth Bajaj VeriSign, Inc. 487 E. Middlefield Road Phone: 1-650-426-3458 Mountain View, CA 94043 USA Email: sbajaj@verisign.com OATH-HOTP-VARIANTS Expires - March 2007 [Page 21] OCRA: OATH Challenge Response Algorithms September 2006 15. Full Copyright Statement Copyright (C) The IETF Trust (2006). 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