Research on Hermitian self-dual codes, GRS codes and EGRS codes

10/19/2022

∙

by   Ruhao Wan, et al.

∙

0

∙

share

MDS self-dual codes have nice algebraic structures, theoretical significance and practical implications. In this paper, we present three classes of the Hermitian self-dual (extended) generalized Reed-Solomon codes with different locators. Furthermore, we showed that q^2-ary Hermitian self-dual (extended) GRS codes of length 2q does not exist. Finally, under certain conditions, we proved the conjecture 3.7 in [23] and extend it to the case of extended GRS code.