Searching for authors named "Alexis Bonnecaze" – sorted by Relevance.
7 documents found, showing 1 through 7.
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K.: A Distributed time stamping scheme
- …The aim of a time-stamping system is to prove the existence of a digital document at a particular time in the past. Implemented time-stamping systems are generally based on a centralized server model. However, the unique server may represent a weakness for the system. In this paper, we propose a dis…
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Decoding of Cyclic Codes over . . .
- …We give a simple decoding algorithm to decode linear cyclic codes of odd length over the ring R = F2 + uF2 = f0; 1; u; u = u + 1g, where u 2 = 0. A spectral representation of the cyclic codes over R is given and a BCH like bound is given for the Lee distance of the codes. The ring R shares many …
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Decoding Self-Dual Codes over Z4
- …We give an algorithm to decode free self-dual codes over Z4 ; and investigate its complexity. Keywords: Self-dual codes, Z 4 -codes, decoding algorithm. 1 Introduction Self-dual codes defined over Z 4 , the integers modulo four, represent a very important class of codes. Some of these codes with g…
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Quaternary Quadratic Residue Codes and Unimodular Lattices
- …We construct new self-dual and isodual codes over the integers modulo 4. The binary images of these codes under the Gray map are nonlinear, but formally self-dual. The construction involves Hensel lifting of binary cyclic codes. Quaternary quadratic residue codes are obtained by Hensel lifting of th…
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Type II Codes over Z 4
- …Type II Z 4 -codes are introduced as self-dual codes over the integers modulo 4 containing the all-one vector and with euclidean weights multiple of 8: Their weight enumerators are characterized by means of invariant theory. A notion of extremality for the euclidean weight is introduced. Their binar…
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Niemeier Lattices and Type II Codes over Z 4
- …All the 23 Niemeier lattices are constructed by construction A modulo 4. Explicit generator matrices and symmetrized weight enumerators for the relevant codes are given. Keywords: Unimodular Lattices, Type II Codes, Z 4 -Codes, Construction A 4 . 1 Introduction In [1] a construction of the Leech l…
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Jacobi polynomials, type II codes, and designs
- …Jacobi polynomials were introduced by Ozeki in analogy with Jacobi forms of lattices. They are useful for coset weightenumeration, and weightenumeration of children. We determine them in most interesting cases in length at most 32 � and in some cases in length 72: We use them to construct group divi…
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Showing 1 through 7.
