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

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Aleš Jaklič,Aleš Leonardis,Franc Solina describe the construction of an instance of our system – which is a modified Polly Cracker scheme – starting from such a 3-SAT formula. Then we discuss security issues: this is achieved on the one hand by exploring best methods to date for solving this particular problem, and on the other hand by s
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Aleš Jaklič,Aleš Leonardis,Franc Solinaposed (γ,ρ) regular LDPC ensemble has rate . girth ≥2., and exists for all γ≥2. The codes are a subset of Gallager’s random ensemble, but contains a good combination ofstructure and (pseudo)randomness. In particular, the simple case of γ=2 results in a class of codes that are high-rate, systematic,
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Segmentation Using Two-Step Cluster Analysisviewed 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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Progress in Computer Science and Applied Logichttp://image.papertrans.cn/c/image/228913.jpg
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Coding, Cryptography and Combinatorics978-3-0348-7865-4Series ISSN 2297-0576 Series E-ISSN 2297-0584
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https://doi.org/10.1007/978-3-642-88157-2 elliptic modular curves, Shimura curves, or Drinfeld modular curves by appropriate reduction. In this paper we review the recursive asymptotically optimal towers constructed so far, discuss the reasons behind Elkies’ conjecture, present numerical evidence of this conjecture, and sketch Elkies’ proof of modularity of the new families.
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