Title :
Linear codes from narrow ray class groups of algebraic curves
Author_Institution :
Dept. of Math., Nat. Univ. of Singapore, Anhui, China
fDate :
3/1/2004 12:00:00 AM
Abstract :
By employing the narrow ray class groups of algebraic curves and the Hurwitz genus formula, we construct a class of linear codes over prime fields with reasonable parameters. In particular, we obtain some new codes compared with Brouwer´s table.
Keywords :
algebraic geometric codes; linear codes; Hurwitz genus formula; algebraic curves; linear codes; narrow ray class group; Chaos; Cost accounting; Galois fields; Geometry; Linear code; Mathematics;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2004.824922