Quadratic-Residue Codes and Cyclotomic Fields
β Scribed by Michele Elia; J. Carmelo Interlando
- Publisher
- Springer Netherlands
- Year
- 2006
- Tongue
- English
- Weight
- 288 KB
- Volume
- 93
- Category
- Article
- ISSN
- 0167-8019
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π SIMILAR VOLUMES
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
A generalization of the Pless symmetry codes to different fields is presented. In particular new infinite families of self-dual codes over GF(4), GF(5), GF( ), and GF(9) are introduced. It is proven that the automorphism group of some of these codes contains the group PSL 2 (q). New codes over GF(4)