One generator $(1+u)$-quasi twisted codes over $F_2+uF_2$

Jian Gao; Qiong Kong

One generator $(1+u)$-quasi twisted codes over $F_2+uF_2$

Information Theory 2013-07-02 v1 math.IT

Authors: Jian Gao , Qiong Kong

Abstract

This paper gives the minimum generating sets of three types of one generator $(1+u)$ -quasi twisted (QT) codes over $F_2+uF_2$ , $u^2=0$ . Moreover, it discusses the generating sets and the lower bounds on the minimum Lee distance of a special class of $A_2$ type one generator $(1+u)$ -QT codes. Some good (optimal or suboptimal) linear codes over $F_2$ are obtained by these types of one generator $(1+u)$ -QT codes.

Keywords

quasi-twisted codes one generator codes finite rings lee distance linear codes generating sets optimal codes

Cite

@article{arxiv.1307.0180,
  title  = {One generator $(1+u)$-quasi twisted codes over $F_2+uF_2$},
  author = {Jian Gao and Qiong Kong},
  journal= {arXiv preprint arXiv:1307.0180},
  year   = {2013}
}

Comments

7 pages. In Mathematical Computation, 2013(1)

Related papers

View all related →