Vector-Circulant Matrices over Finite Fields and Related Codes
Rings and Algebras
2014-08-12 v1
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 is given together with some examples of good half-rate additive codes.
Cite
@article{arxiv.1408.2059,
title = {Vector-Circulant Matrices over Finite Fields and Related Codes},
author = {Somphong Jitman},
journal= {arXiv preprint arXiv:1408.2059},
year = {2014}
}