Higher Power Residue Codes

✍ Scribed by Robin Chapman

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 331 KB
• Volume: 3
• Category: Article
• ISSN: 1071-5797
• DOI: 10.1006/ffta.1997.0190

✦ Synopsis

For certain primes l and p, and characters : F* p Ǟ F* l 2 , we construct codes W of length p ϩ 1 over F l 2 which are linear over F l , but not over F l 2 , and which are invariant under a monomial action of the group SL(2, p). We consider the cases of cubic and quartic characters in detail and use the W to construct linear codes over F l in these cases.