Information Sets From Defining Sets in Abelian Codes

We describe a technique to construct a set of check positions (and hence an information set) for every abelian code solely in terms of its defining set. This generalizes that given by Imai in in the case of binary TDC codes.

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Bibliographic Details
Published in:IEEE transactions on information theory 2011-12, Vol.57 (12), p.7990-7999
Main Authors: Bernal, J. J., Simon, J. J.
Format: Article
Language:English
Subjects:
Applied sciences
Codes
Coding, codes
Construction
Decoding
Exact sciences and technology
Information theory
Information, signal and communications theory
Linear code
Polynomials
Signal and communications theory
Telecommunications and information theory
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Description
Summary:We describe a technique to construct a set of check positions (and hence an information set) for every abelian code solely in terms of its defining set. This generalizes that given by Imai in in the case of binary TDC codes.
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2011.2163492