2020/01/18 by Trombetti, Rocco, Zullo, Ferdinando
#05E15 #05E30 #51E22 #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.2001.06628
Inspired by the work of Zhou "On equivalence of maximum additive symmetric rank-distance codes" (2020) based on the paper of Schmidt "Symmetric bilinear forms over finite fields with applications to coding theory" (2015), we investigate the equivalence issue of maximum d-codes of Hermitian matrices. More precisely, in the space Hn(q2) of Hermitian matrices over \mathbbFq2 we have two possible equivalence: the classical one coming from the maps that preserve the rank in \mathbbFq2n× n, and the one that comes from restricting to those maps preserving both the rank and the space Hn(q2). We prove that when d