Enumeration of complementary-dual cyclic $\mathbb{F}_{q}$-linear $\mathbb{F}_{q^t}$-codes

Anuradha Sharma; Taranjot Kaur

Enumeration of complementary-dual cyclic $\mathbb{F}_{q}$-linear $\mathbb{F}_{q^t}$-codes

Combinatorics 2017-02-03 v1

Authors: Anuradha Sharma , Taranjot Kaur

Abstract

Let $\mathbb{F}_q$ denote the finite field of order $q,$ $n$ be a positive integer coprime to $q$ and $t \geq 2$ be an integer. In this paper, we enumerate all the complementary-dual cyclic $\mathbb{F}_q$ -linear $\mathbb{F}_{q^t}$ -codes of length $n$ by placing $\ast$ , ordinary and Hermitian trace bilinear forms on $\mathbb{F}_{q^t}^n.$

Keywords

finite fields q-series and q-analogues

Cite

@article{arxiv.1702.00549,
  title  = {Enumeration of complementary-dual cyclic $\mathbb{F}_{q}$-linear $\mathbb{F}_{q^t}$-codes},
  author = {Anuradha Sharma and Taranjot Kaur},
  journal= {arXiv preprint arXiv:1702.00549},
  year   = {2017}
}

Comments

This work is a part of PhD thesis of Ms. Taranjot Kaur

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