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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On Cyclic and Abelian Codes

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Author(s):
Milies, Cesar Polcino [1, 2] ; de Melo, Fernanda Diniz [3]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Inst Matemat & Estat, BR-05314970 Sao Paulo - Brazil
[2] Univ Fed ABC, CMCC, BR-09210170 Santo Andre - Brazil
[3] Univ Estadual Maringa, Dept Matemat, BR-87020900 Maringa, Parana - Brazil
Total Affiliations: 3
Document type: Journal article
Source: IEEE TRANSACTIONS ON INFORMATION THEORY; v. 59, n. 11, p. 7314-7319, NOV 2013.
Web of Science Citations: 4
Abstract

In this paper, the minimum weight and the dimension of all cyclic codes of length p(n) over a field F-q, are computed, when p is an odd prime and F-q a finite field with q elements, assuming that (q) over bar generates the group of invertible elements of Z(pn). Furthermore, the minimum weight and dimension of codes which are sum of two minimal codes in F-q(C-p x C-p) are also computed. Finally, the efficiency of cyclic codes and noncyclic abelian codes of length p(2) are compared. (AU)

FAPESP's process: 09/52665-0 - Groups, rings and algebras: interactions and applications
Grantee:Francisco Cesar Polcino Milies
Support type: Research Projects - Thematic Grants