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On complete regularity of extended codes

โœ Scribed by A.E. Brouwer


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
158 KB
Volume
117
Category
Article
ISSN
0012-365X

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๐Ÿ“œ SIMILAR VOLUMES


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โœ Arnold Neumaier ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 404 KB

Neumaier, A., Completely regular codes, Discrete Mathematics 106/107 (1992) 353-360 Completely regular codes are a large class of codes which share many of the most interesting properties of perfect codes. This paper shows that the basic theory-including Lloyd's theorem+an be obtained very elegantly

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โœ A.E. Brouwer ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 169 KB

We show that puncturing a completely regular even binary code produces a completely regular code again, thus answering a question posed in Brouwer et al. [3], p. 357.

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Symposium on Inform. Theory, Whistler, Canada,'' pp. 345) proved that every [n, k, d] O code with gcd(d, q)"1 and with all weights congruent to 0 or d (modulo q) is extendable to an O code with all weights congruent to 0 or d#1 (modulo q). We give another elementary geometrical proof of this theor

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โœ Thierry P. Berger ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 231 KB

Classical Goppa codes are a special case of Alternant codes. First we prove that the parity-check subcodes of Goppa codes and the extended Goppa codes are both Alternant codes. Before this paper, all known cyclic Goppa codes were some particular BCH codes. Many families of Goppa codes with a cyclic