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arXiv · 1408.2059

Vector-Circulant Matrices over Finite Fields and Related Codes

Somphong Jitman
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Abstract

A vector-circulant matrix is a natural generalization of the classical circulant matrix and has applications in constructing additive codes. This article formulates the concept of a vector-circulant matrix over finite fields and gives an algebraic characterization for this kind of matrix. Finally, a construction of additive codes with vector-circulant based over $\mathbb{F}_4$ is given together with some examples of good half-rate additive codes.

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Somphong Jitman. 2014-08-09. Vector-Circulant Matrices over Finite Fields and Related Codes. https://arxiv.org/abs/1408.2059

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