Quadratic spaces over finite fields and codes
β Scribed by Ernst Snapper
- Book ID
- 107884885
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 369 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0097-3165
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π SIMILAR VOLUMES
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)
We study the geometrical properties of the subgroups of the mutliplicative group of a "nite extension of a "nite "eld endowed with its vector space structure and we show that in some cases the associated projective space has a natural group structure. We construct some cyclic codes related to Reed}M