On normalized generating sets for GQC codes over Z(2)

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Let r(i), be positive integers and R-i = Z(2)[x]/ < x(ri) - 1 > for 1 <= i <= l. Denote R = R-1 x R-2 x ... x R-l. Generalized quasi-cyclic (GQC) code C of length (r(1), r(2),..., r(l)) over Z(2) can be viewed as Z(2) [x]-submodule of R. In this paper, we investigate the algebraic structure of C by presenting its normalized generating set. We also present a method to determine the normalized generating set of the dual code of C, which is derived from the normalized generating set of C. (C) 2016 Elsevier Inc. All rights reserved.
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Issue Date
2017-05
Language
English
Article Type
Article
Keywords

QUASI-CYCLIC CODES; STRUCTURAL-PROPERTIES

Citation

FINITE FIELDS AND THEIR APPLICATIONS, v.45, pp.285 - 300

ISSN
1071-5797
DOI
10.1016/j.ffa.2016.11.017
URI
http://hdl.handle.net/10203/223651
Appears in Collection
MA-Journal Papers(저널논문)
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