By Daniel Smith-Tone (auth.), Nicolas Sendrier (eds.)
This e-book constitutes the refereed complaints of the 3rd foreign Workshop on Post-Quantum Cryptography, PQCrypto 2010, held in Darmstadt, Germany, in might 2010. The sixteen revised complete papers provided have been rigorously reviewed and chosen from 32 submissions. The papers are prepared in topical sections on cryptanalysis of multivariate platforms, cryptanalysis of code-based structures, layout of encryption schemes, and layout of signature schemes.
Read Online or Download Post-Quantum Cryptography: Third International Workshop, PQCrypto 2010, Darmstadt, Germany, May 25-28, 2010. Proceedings PDF
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Additional resources for Post-Quantum Cryptography: Third International Workshop, PQCrypto 2010, Darmstadt, Germany, May 25-28, 2010. Proceedings
Example text
Then dim Ak λ = δ(n, k), n δ(n, k) − ( (k − n/2) + 1)2 2 −1 , dim Ak (λ + 1) = δ(n, k), n δ(n, k) − ( (k − n/2) − 1)2 2 −1 , if k < n/2 if n/2 ≤ k ≤ n if k < n/2 + 2 if n/2 ≤ k ≤ n Proof. We first prove the assertion that dim Ak λ = δ(n, k) = dim Ak (λ + 1) for 0 ≤ k < n/2 by induction on k. We need two base cases, k = 0 and k = 1. When k = 0, Ak = F , and so it is clear that dim A0 λ = dim A0 (λ + 1) = 1 = δ(n, 1). 1. So dim A1 λ = dim A1 (λ + 1) = dim A1 = σ(n, 1) = δ(n, 1). Now suppose 1 < k < n/2.
N. ): PQCrypto 2010, LNCS 6061, pp. 41–60, 2010. c Springer-Verlag Berlin Heidelberg 2010 42 1 W. Cao et al. Introduction Public key cryptography (PKC) has opened a new era of cryptography since Diffie and Hellman delivered a new idea in their seminal paper in 1976 [DH76]. The classical trapdoors of PKC are based on the difficulty of integer factorization for RSA and discrete logarithm for ElGamal and ECC. However, with the arrival of quantum computer epoch, cryptosystems based on integer factorization and discrete logarithm will be cracked by quantum computer attack [Sho97].
3788, pp. 333–352. Springer, Heidelberg (2005) Growth of the Ideal Generated by a Quadratic Boolean Function 27 8. : Efficient Algorithms for Solving Overdefined Systems of Multivariate Polynomial Equations. In: Preneel, B. ) EUROCRYPT 2000. LNCS, vol. 1807, pp. 392–407. Springer, Heidelberg (2000) 9. : About the XL Algorithm over GF(2). In: Joye, M. ) CT-RSA 2003. LNCS, vol. 2612, pp. 141–157. Springer, Heidelberg (2003) 10. : Cryptanalysis of Block Ciphers with Overdefined Systems of Equations. In: Zheng, Y.