ALGEBRAIC STRUCTURES OF MRD CODES

作者:de la Cruz Javier*; Kiermaier Michael; Wasserman Alfred; Willems Wolfang
来源:Advances in Mathematics of Communications, 2016, 10(3): 499-510.
DOI:10.3934/amc.2016021

摘要

Based on results in finite geometry we prove the existence of MRD codes in (F-q)(n,n) with minimum distance n which are essentially different from Gabidulin codes. The construction results from algebraic structures which are closely related to those of finite fields. Some of the results may be known to experts, but to our knowledge have never been pointed out explicitly in the literature.

  • 出版日期2016-8