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Skew-cyclic codes

โœ Scribed by D. Boucher; W. Geiselmann; F. Ulmer


Publisher
Springer
Year
2007
Tongue
English
Weight
161 KB
Volume
18
Category
Article
ISSN
0938-1279

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๐Ÿ“œ SIMILAR VOLUMES


Z8-Cyclic Codes and Quadratic Residue Co
โœ Mei Hui Chiu; Stephen S.-T Yau; Yung Yu ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 160 KB

In memory of Professor Gian-Carlo Rota for his great contributions in combinatorial and discrete geometry A set of n-tuples over 8 is called a code over 8 or a 8 code if it is a 8 module. A particularly interesting family of 8 -cyclic codes are quadratic residue codes. We define such codes in terms

Indecomposability of cyclic codes
โœ Yoshimi Kashiwagi; Isao Kikumasa ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 277 KB

but it is not true in general. In fhis paper we will give a necessary and sufficient condition for a cyclic code to be indecomposable, using its generator polynomial.

Decomposing Quasi-Cyclic Codes
โœ San Ling; Patrick Solรฉ ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 694 KB
Cyclic Self-DualZ4-Codes
โœ Vera Pless; Patrick Solรฉ; Zhongqiang Qian ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 306 KB

For n odd, the Z 4 cyclic code generated by 2 is self-dual. We call this a trivial cyclic self-dual code. When do there exist nontrivial cyclic self-dual codes of odd length n? We give an answer in this paper by characterizing these n and describing generators of such codes; this yields an existence

Cyclic arcs and pseudo-cyclic MDS codes
โœ Tatsuya Maruta ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 294 KB

Cyclic arcs (defined by Storme and Van Maldghem, [1994]) and pseudo-cyclic MDS codes are equivalent objects. We survey known results on the existence of cyclic arcs. Some new results on cyclic arcs in PG(2, q) are also given.

Optimal ternary quasi-cyclic codes
โœ P. P. Greenough; R. Hill ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Springer ๐ŸŒ English โš– 475 KB