By Gul Agha (auth.), Traian Muntean, Dimitrios Poulakis, Robert Rolland (eds.)
This e-book constitutes the refereed court cases of the fifth overseas convention on Algebraic Informatics, CAI 2013, held in Porquerolles, France in September 2013. the nineteen revised complete papers awarded including five invited articles have been conscientiously reviewed and chosen from quite a few submissions. The papers disguise subject matters similar to facts types and coding concept; basic points of cryptography and safety; algebraic and stochastic versions of computing; common sense and software modelling.
Read or Download Algebraic Informatics: 5th International Conference, CAI 2013, Porquerolles, France, September 3-6, 2013. Proceedings PDF
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Extra resources for Algebraic Informatics: 5th International Conference, CAI 2013, Porquerolles, France, September 3-6, 2013. Proceedings
In: Matsui, M. ) ASIACRYPT 2009. LNCS, vol. 5912, pp. 88–105. Springer, Heidelberg (2009) 47. : An eﬃcient pseudo-random generator provably as secure as syndrome decoding. M. ) EUROCRYPT 1996. LNCS, vol. 1070, pp. 245–255. Springer, Heidelberg (1996) 48. : Cryptanalysis of a hash function based on quasi-cyclic codes. In: Malkin, T. ) CT-RSA 2008. LNCS, vol. 4964, pp. 19–35. Springer, Heidelberg (2008) 49. : Asymptotic behavior of the ZZW embedding construction. IEEE Transactions on Information Forensics and Security 4(1), 151–153 (2009) 50.
As already mentionned, the bound on the number of changes comes from the property that the Hamming weight of any coset leader is bounded by the covering radius R of the code. Next, by deﬁnition, we have α = (n − k)/n. Now, let us suppose that the messages to embed are uniformally distributed, so that m − Hx is uniformally ditributed in Fn−k , to ﬁnd the average number of 2 changes, we thus have to compute the expected weight of a coset leader: 1 2n−k ω(es ) = s∈Fn−k 2 1 2n 2k ω(es ) . s∈Fn−k 2 Let s ∈ Fn−k , from proposition 4, for any x ∈ C(s), d(x, C) = ω(es ), hence: 2 1 2n 2k ω(es ) = s∈Fn−k 2 1 2n d(x, C) = s∈Fn−k 2 x∈C(s) 1 2n d(x, C) .
R. ) SAC 2010. LNCS, vol. 6544, pp. 171–186. Springer, Heidelberg (2011) 31. : Application de la m´ethode de d´ecodage it´erative d’omura a ` la cryptanalyse du syst`eme de mc eliece. Rapport de Recherche 122, Universit´e de Sherbrooke (October 1993) 32. : How to achieve a McEliece-based digital signature scheme. In: Boyd, C. ) ASIACRYPT 2001. LNCS, vol. 2248, pp. 157–174. Springer, Heidelberg (2001) 33. : Some notes on steganography (1998), Posted on the steganography mailing list 34. : Towards a concrete security proof of courtois, ﬁniasz and sendrier signature scheme.
Algebraic Informatics: 5th International Conference, CAI 2013, Porquerolles, France, September 3-6, 2013. Proceedings by Gul Agha (auth.), Traian Muntean, Dimitrios Poulakis, Robert Rolland (eds.)