Vector-Circulant Matrices and Vector-Circulant Based Additive Codes over Finite Fields
Circulant matrices have attracted interest due to their rich algebraic structures and various applications. In this paper, the concept of vector-circulant matrices over finite fields is studied as a generalization of circulant matrices. The algebraic characterization for such matrices has been discu...
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| Format: | Article |
| Language: | English |
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MDPI AG
2017-07-01
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| Series: | Information |
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| Online Access: | https://www.mdpi.com/2078-2489/8/3/82 |
| Summary: | Circulant matrices have attracted interest due to their rich algebraic structures and various applications. In this paper, the concept of vector-circulant matrices over finite fields is studied as a generalization of circulant matrices. The algebraic characterization for such matrices has been discussed. As applications, constructions of vector-circulant based additive codes over finite fields have been given together with some examples of optimal additive codes over F 4 . |
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| ISSN: | 2078-2489 |