An Improvement of the Gilbert-Varshamov Bound Over Nonprime Fields

作者:Bassa Alp*; Beelen Peter; Garcia Arnaldo; Stichtenoth Henning
来源:IEEE Transactions on Information Theory, 2014, 60(7): 3859-3861.
DOI:10.1109/TIT.2014.2316531

摘要

The Gilbert-Varshamov bound guarantees the existence of families of codes over the finite field F-l with good asymptotic parameters. We show that this bound can be improved for all nonprime fields F-l with l %26gt;= 49, except possibly l = 125. We observe that the same improvement even holds within the class of transitive codes and within the class of self-orthogonal codes.

  • 出版日期2014-7