Properties of dual codes defined by nondegenerate forms

Journal of Algebra Combinatorics Discrete Structures and Applications

article

Steve Szabo¹  Jay A. Wood² 

[1] Department of Mathematics and Statistics, Eastern Kentucky University;Department of Mathematics, Western Michigan University

关键词: Frobenius ring;    Sesquilinear form;    Bilinear form;    Dual code;    Generating character;    MacWilliams identities;   

DOI  :  10.13069/jacodesmath.284934

学科分类：社会科学、人文和艺术（综合）

来源: Yildiz Technical University

【 摘 要 】

Dual codes are defined with respect to non-degenerate sesquilinear or bilinear forms over a finite Frobenius ring. These dual codes have the properties one expects from a dual code: they satisfy a double-dual property, they have cardinality complementary to that of the primal code, and they satisfy the MacWilliams identities for the Hamming weight.

【 授权许可】

CC BY