A Practical Leakage-Resilient Signature Scheme in the Generic Group Model

We propose a leakage-resilient signature scheme in the continual leakage model that is based on a well-known identity-based encryption scheme by Boneh and Boyen (Eurocrypt 2004). The proposed signature scheme is the most efficient among the existing schemes that allow for continual leakage. Its efficiency is close to that of non leakage-resilient pairing-based signature schemes. It tolerates leakage of almost half of the bits of the secret key at every new signature invocation. We prove the security of the new scheme in the generic bilinear group model.

[1]  Guy N. Rothblum,et al.  Leakage-Resilient Signatures , 2010, TCC.

[2]  Paul C. Kocher,et al.  Timing Attacks on Implementations of Diffie-Hellman, RSA, DSS, and Other Systems , 1996, CRYPTO.

[3]  Ueli Maurer,et al.  Abstract Models of Computation in Cryptography , 2005, IMACC.

[4]  Stefan Dziembowski,et al.  Leakage-Resilient Cryptography From the Inner-Product Extractor , 2011, IACR Cryptol. ePrint Arch..

[5]  Aggelos Kiayias,et al.  Traceable Signatures , 2004, EUROCRYPT.

[6]  Siva Sai Yerubandi,et al.  Differential Power Analysis , 2002 .

[7]  Walter Fumy,et al.  Advances in Cryptology — EUROCRYPT ’97 , 2001, Lecture Notes in Computer Science.

[8]  P. Kocher,et al.  Di erential Power Analysis , 1999 .

[9]  Rafail Ostrovsky,et al.  Fuzzy Extractors: How to Generate Strong Keys from Biometrics and Other Noisy Data , 2004, SIAM J. Comput..

[10]  Yael Tauman Kalai,et al.  Overcoming the Hole in the Bucket: Public-Key Cryptography Resilient to Continual Memory Leakage , 2010, 2010 IEEE 51st Annual Symposium on Foundations of Computer Science.

[11]  Richard Zippel,et al.  Probabilistic algorithms for sparse polynomials , 1979, EUROSAM.

[12]  Moti Yung,et al.  Signatures Resilient to Continual Leakage on Memory and Computation , 2011, IACR Cryptol. ePrint Arch..

[13]  Ueli Maurer,et al.  The Leakage-Resilience Limit of a Computational Problem Is Equal to Its Unpredictability Entropy , 2011, ASIACRYPT.

[14]  Ronald Cramer,et al.  Advances in Cryptology - EUROCRYPT 2005, 24th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Aarhus, Denmark, May 22-26, 2005, Proceedings , 2005, EUROCRYPT.

[15]  Dan Boneh,et al.  Advances in Cryptology - CRYPTO 2003 , 2003, Lecture Notes in Computer Science.

[16]  Eike Kiltz,et al.  Leakage Resilient ElGamal Encryption , 2010, ASIACRYPT.

[17]  Dan Boneh,et al.  Short Signatures Without Random Oracles and the SDH Assumption in Bilinear Groups , 2008, Journal of Cryptology.

[18]  Krzysztof Pietrzak,et al.  A Leakage-Resilient Mode of Operation , 2009, EUROCRYPT.

[19]  Colin Boyd,et al.  Cryptography and Coding , 1995, Lecture Notes in Computer Science.

[20]  Dan Boneh,et al.  Efficient Selective-ID Secure Identity Based Encryption Without Random Oracles , 2004, IACR Cryptol. ePrint Arch..

[21]  Markus Kasper,et al.  The World is Not Enough: Another Look on Second-Order DPA , 2010, IACR Cryptol. ePrint Arch..

[22]  Stefan Dziembowski,et al.  Leakage-Resilient Cryptography , 2008, 2008 49th Annual IEEE Symposium on Foundations of Computer Science.

[23]  Neal Koblitz,et al.  Advances in Cryptology — CRYPTO ’96 , 2001, Lecture Notes in Computer Science.

[24]  Yuval Ishai,et al.  Private Circuits: Securing Hardware against Probing Attacks , 2003, CRYPTO.

[25]  Benny Pinkas,et al.  Secure Two-Party Computation is Practical , 2009, IACR Cryptol. ePrint Arch..

[26]  Dan Boneh,et al.  Hierarchical Identity Based Encryption with Constant Size Ciphertext , 2005, EUROCRYPT.

[27]  Silvio Micali,et al.  Physically Observable Cryptography (Extended Abstract) , 2004, TCC.

[28]  Jacob T. Schwartz,et al.  Fast Probabilistic Algorithms for Verification of Polynomial Identities , 1980, J. ACM.

[29]  Vinod Vaikuntanathan,et al.  Signature Schemes with Bounded Leakage Resilience , 2009, ASIACRYPT.

[30]  Moti Yung,et al.  A New Randomness Extraction Paradigm for Hybrid Encryption , 2009, EUROCRYPT.

[31]  Jean-Sébastien Coron,et al.  Resistance against Differential Power Analysis for Elliptic Curve Cryptosystems , 1999, CHES.

[32]  Kenneth G. Paterson.  Advances in Cryptology - EUROCRYPT 2011 - 30th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Tallinn, Estonia, May 15-19, 2011. Proceedings , 2011, EUROCRYPT.

[33]  Victor Shoup,et al.  Lower Bounds for Discrete Logarithms and Related Problems , 1997, EUROCRYPT.

[34]  Daniel Wichs,et al.  Fully Leakage-Resilient Signatures , 2011, EUROCRYPT.

[35]  Yevgeniy Dodis,et al.  Efficient Public-Key Cryptography in the Presence of Key Leakage , 2010, ASIACRYPT.

[36]  E. W. Ng.  Symbolic and Algebraic Computation , 1979, Lecture Notes in Computer Science.

[37]  Michael Wiener,et al.  Advances in Cryptology — CRYPTO’ 99 , 1999 .