Title :
On cyclic reversible self-dual additive codes with odd length over Ƶ22
Author :
Ran, Moshe ; Snyders, Jakov
Author_Institution :
TelesciCOM Ltd., Holon, Israel
fDate :
5/1/2000 12:00:00 AM
Abstract :
Several additive codes of odd length over Ƶ22 are introduced. These codes are cyclic and reversible. Furthermore, they are self-dual under an appropriately selected binary-valued inner product. Some binary derivatives of these codes have good parameters. All cyclic and reversible [5,2.5,3] additive codes over Ƶ22 are isomorphic and possess interesting properties
Keywords :
Galois fields; binary codes; cyclic codes; dual codes; group codes; Abelian group codes; binary derivatives; binary-valued inner product; cyclic reversible self-dual additive codes; finite fields; isomorphic codes; odd length codes; Cryptography; Informatics; Linear code; Mathematics; Radio access networks; Web pages;
Journal_Title :
Information Theory, IEEE Transactions on