Abstract | ||
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In this article, we investigate the depth distribution and the depth spectra of linear codes over the ring R = F-2 + uF(2) + u(2)F(2), where u(3) = 1. By using homomorphism of abelian groups from R to F-2 and the generator matrices of linear codes over R, the depth spectra of linear codes of type 8(k1)4(k2)2(k3) are obtained. We also give the depth distribution of a linear code C over R. Finally, some examples are presented to illustrate our obtained results. |
Year | DOI | Venue |
---|---|---|
2016 | 10.1587/transfun.E99.A.429 | IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES |
Keywords | Field | DocType |
linear code, generator matrix, derivative, depth distribution, depth spectrum | Discrete mathematics,Generator matrix,Algebra,Spectral line,Linear code,Mathematics | Journal |
Volume | Issue | ISSN |
E99A | 1 | 0916-8508 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Ting Yao | 1 | 2 | 0.71 |
Minjia Shi | 2 | 1 | 2.43 |
Ya Chen | 3 | 0 | 0.34 |