By Gul Agha (auth.), Traian Muntean, Dimitrios Poulakis, Robert Rolland (eds.)
This ebook constitutes the refereed court cases of the fifth foreign convention on Algebraic Informatics, CAI 2013, held in Porquerolles, France in September 2013. the nineteen revised complete papers provided including five invited articles have been conscientiously reviewed and chosen from various submissions. The papers conceal themes resembling information versions and coding thought; basic points of cryptography and defense; algebraic and stochastic types of computing; good judgment and application modelling.
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Extra resources for Algebraic Informatics: 5th International Conference, CAI 2013, Porquerolles, France, September 3-6, 2013. Proceedings
Performances of the scheme has been improved in  and a security proof is given in . 8 Improving Code Based Cryptosystems There are essentially two drawbacks in code based cryptography. First, some protocols needs the generation of constant weight. This is a problem which involves computation which slow down the whole process. Next, all the schemes depend on a public matrix whose size is greater than the usual public data used in number theory based cryptography. An issue to the ﬁrst problem is to used regular words (see preceeding section) instead of constant weight words.
Cn ) such that ci = m(αi ) where k−1 m(x) = j=0 mj xj (Shamir’s scheme corresponds to the case where n + 1 is prime and αi = i). The secret to be shared is the information symbol m0 . Table 11 describes the protocol. When r users meet together, they know r symbols (and their positions) of the whole codeword c. The remaining n − r symbols are called erasures: simply replace them with 0 and they become special errors whose positions are known. Remark 8. Notice that since the protocol is used over Fq we have n = q − 1.
6544, pp. 159–170. Springer, Heidelberg (2011) 45. : Improved fast syndrome based cryptographic hash function. In: ECRYPT Hash Workshop 2007 (2007) 46. : Security bounds for the design of code-based cryptosystems. 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.