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
Skew-cyclic codes
โ Scribed by D. Boucher; W. Geiselmann; F. Ulmer
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 161 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0938-1279
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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.
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 (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.