Groups and noncommutative algebra: interactions and applications
A state-of-the-art description of the strongly coupled quark-gluon plasma using vi...
| Full text | |
| Author(s): |
Total Authors: 2
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| 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
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| 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 Opportunities: | Research Projects - Thematic Grants |