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Generalized Quasi-Cyclic Codes Over $\mathbb{F}_q+u\mathbb{F}_q$.
| Content Provider | Semantic Scholar |
|---|---|
| Author | Gao, Jian Fu, Fang-Wei Shen, Linzhi |
| Copyright Year | 2013 |
| Abstract | Generalized quasi-cyclic (GQC) codes with arbitrary lengths over the ring $\mathbb{F}_{q}+u\mathbb{F}_{q}$, where $u^2=0$, $q=p^n$, $n$ a positive integer and $p$ a prime number, are investigated. By the Chinese Remainder Theorem, structural properties and the decomposition of GQC codes are given. For 1-generator GQC codes, minimal generating sets and lower bounds on the minimum distance are given. As a special class of GQC codes, quasi-cyclic (QC) codes over $\mathbb{F}_q+u\mathbb{F}_q$ are also discussed briefly in this paper. |
| File Format | PDF HTM / HTML |
| DOI | 10.1587/transfun.e97.a.1005 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1307.1746v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1587/transfun.e97.a.1005 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
