Linear Codes over Z_4+uZ_4: MacWilliams identities, projections, and formally self-dual codes

Autor:	Yildiz, Bahattin, Karadeniz, Suat
Rok vydání:	2013
Předmět:	Mathematics - Rings and Algebras Computer Science - Information Theory 94B05 11T71
Druh dokumentu:	Working Paper
Popis:	Linear codes are considered over the ring Z_4+uZ_4, a non-chain extension of Z_4. Lee weights, Gray maps for these codes are defined and MacWilliams identities for the complete, symmetrized and Lee weight enumerators are proved. Two projections from Z_4+uZ_4 to the rings Z_4 and F_2+uF_2 are considered and self-dual codes over Z_4+uZ_4 are studied in connection with these projections. Finally three constructions are given for formally self-dual codes over Z_4+uZ_4 and their Z_4-images together with some good examples of formally self-dual Z_4-codes obtained through these constructions. Comment: 12 pages. Partially presented in the 13th International Workshop on Algebraic and combinatorial coding theory, Pomorie, Bulgaria, 2012
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1307.3047 Zobrazit plný text záznamu View this record from Arxiv