On additive modular bivariate codes over F4

被引:1
|
作者
Martinez-Moro, E. [1 ,2 ,3 ]
Nicolas, A. P. [1 ,2 ]
Rua, I. F. [4 ]
机构
[1] Univ Valladolid, Inst Math, Castilla, Spain
[2] Univ Valladolid, Dept Appl Math, Castilla, Spain
[3] Eastern Kentucky Univ, Dept Math & Stat, Richmond, KY USA
[4] Univ Oviedo, Dept Matemat, Oviedo 33007, Asturias, Spain
关键词
Additive codes; Multivariable codes; Abelian codes; Quantum codes; Modular codes; CYCLIC CODES;
D O I
10.1016/j.ffa.2014.02.007
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Additive multivariate codes over F-4 (the Galois field with 4 elements) are a natural extension of additive cyclic and abelian codes. A complete description of such codes when the length is odd was presented in [11]. In this paper we study some properties of this family of codes in the case when the length is even (modular case) and the number of variables is two (bivariate codes). (C) 2014 Elsevier Inc. All rights reserved.
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页码:199 / 213
页数:15
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