English

Further Generalisations of Twisted Gabidulin Codes

Information Theory 2017-08-07 v2 math.IT

Abstract

We present a new family of maximum rank distance (MRD) codes. The new class contains codes that are neither equivalent to a generalised Gabidulin nor to a twisted Gabidulin code, the only two known general constructions of linear MRD codes.

Keywords

Cite

@article{arxiv.1703.08093,
  title  = {Further Generalisations of Twisted Gabidulin Codes},
  author = {Sven Puchinger and Johan Rosenkilde né Nielsen and John Sheekey},
  journal= {arXiv preprint arXiv:1703.08093},
  year   = {2017}
}

Comments

10 pages, accepted at the International Workshop on Coding and Cryptography (WCC) 2017

R2 v1 2026-06-22T18:54:57.190Z