Additive Tridiagonal Codes over $\mathbb{F}_{4}$

N. Annamalai; Anandhu Mohan; C. Durairajan

Additive Tridiagonal Codes over $\mathbb{F}_{4}$

Information Theory 2021-04-13 v1 math.IT

Authors: N. Annamalai , Anandhu Mohan , C. Durairajan

Abstract

In this paper, we introduce a additive Tridiagonal and Double-Tridiagonal codes over $\mathbb{F}_4$ and then we study the properties of the code. Also, we find the number of additive Tridiagonal codes over $\mathbb{F}_4.$ Finally, we study the applications of Double-Tridiagonal codes to secret sharing scheme based on matrix projection.

Keywords

coding theory

Cite

@article{arxiv.2104.05405,
  title  = {Additive Tridiagonal Codes over $\mathbb{F}_{4}$},
  author = {N. Annamalai and Anandhu Mohan and C. Durairajan},
  journal= {arXiv preprint arXiv:2104.05405},
  year   = {2021}
}

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