One–generator quasi–abelian codes revisited

Authors

  • Somphong Jitman
  • Patanee Udomkavanich

Keywords:

Group algebras, Quasi-abelian codes, Minimum distances, 1-generator

Abstract

The class of 1-generator quasi-abelian codes over finite fields is revisited. Alternative and explicit characterization and enumeration of such codes are given. An algorithm to find all 1-generator quasi-abelian codes is provided. Two 1-generator quasi-abelian codes whose minimum distances are improved from Grassl’s online table are presented.

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Published

2017-01-15

How to Cite

Jitman, S., & Udomkavanich, P. (2017). One–generator quasi–abelian codes revisited. Journal of Algebra Combinatorics Discrete Structures and Applications, 4(1), 49–60. Retrieved from https://www.jacodesmath.com/index.php/jacodesmath/article/view/55

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Articles