文献类型： 会议论文

第一作者： Bruno Kindarji

作者： Bruno Kindarji ¹ ; Gerard Cohent ² ; Herve Chabanne;

作者机构： 1.Sagem Securite

2.Hnstitut Telecom Telecom ParisTech

会议名称： IEEE International Symposium on Information Theory (ISIT 2010)

主办单位：

页码： 1163-1167

摘要： Starting from a practical use of Reed-Solomon codes in a cryptographic scheme published in Indocrypt'09, this paper deals with the threshold of linear q-ary error-correcting codes. The security of this scheme is based on the intractability of polynomial reconstruction when there is too much noise in the vector. Our approach switches from this paradigm to an Information Theoretical point of view: is there a class of elements that are so far away from the code that the list size is always superpolynomial? Or, dually speaking, is Maximum-Likelihood decoding almost surely impossible? We relate this issue to the decoding threshold of a code, and show that when the minimal distance of the code is high enough, the threshold effect is very sharp. In a second part, we explicit lower-bounds on the threshold of Maximum-Distance Separable codes such as Reed-Solomon codes, and compute the threshold for the toy example that motivates this study.

分类号： G20-53