Titlebook: Coding, Cryptography and Combinatorics; Keqin Feng,Harald Niederreiter,Chaoping Xing Conference proceedings 2004 Springer Basel AG 2004 DE

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HFE and BDDs: A Practical Attempt at Cryptanalysis chosen parameters during the construction produce a system of quadratic multivariate polynomials over . as the public key. An enclosed trapdoor is used to decrypt messages. We propose a ciphertext-only attack which mainly consists in satisfying a boolean formula. Our algorithm is based on BDDs (Bin

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Digital Nets and Coding Theoryviewed as the problem of constructing good linear codes in metric spaces that are more general than Hamming spaces. In this paper we report on the fascinating connections between digital nets and linear codes. In particular, we describe the duality theory for digital nets, the asymptotics of digital

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https://doi.org/10.1007/978-3-642-68049-6In this paper, based on residue rings of polynomials, we present a general construction for nonbinary codes capable of correcting . or fewer symmetric errors and detecting all unidirectional errors with the magnitude error criterion. Some new lower bounds for such codes are obtained from this general construction.

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H. G. Willert,G. Buchhorn,L. ZichnerWe study the number of solutions to certain equations over finite fields and show how this gives a family of four-valued cross-correlation functions of binary m-sequences. This new family includes both of the four-valued cross-correlations found by Niho.

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