English

Describing A Cyclic Code by Another Cyclic Code

Information Theory 2013-06-10 v4 math.IT

Abstract

A new approach to bound the minimum distance of qq-ary cyclic codes is presented. The connection to the BCH and the Hartmann--Tzeng bound is formulated and it is shown that for several cases an improvement is achieved. We associate a second cyclic code to the original one and bound its minimum distance in terms of parameters of the associated code.

Keywords

Cite

@article{arxiv.1204.4563,
  title  = {Describing A Cyclic Code by Another Cyclic Code},
  author = {Alexander Zeh and Sergey Bezzateev},
  journal= {arXiv preprint arXiv:1204.4563},
  year   = {2013}
}
R2 v1 2026-06-21T20:52:30.127Z