An open problem and a conjecture on binary linear complementary pairs of codes
Information Theory
2023-12-18 v1 math.IT
Abstract
The existence of -ary linear complementary pairs (LCPs) of codes with has been completely characterized so far. This paper gives a characterization for the existence of binary LCPs of codes. As a result, we solve an open problem proposed by Carlet (IEEE Trans. Inf. Theory 65(3): 1694-1704, 2019) and a conjecture proposed by Choi (Cryptogr. Commun. 15(2): 469-486, 2023).
Keywords
Cite
@article{arxiv.2312.09482,
title = {An open problem and a conjecture on binary linear complementary pairs of codes},
author = {Shitao Li and Minjia Shi and San Ling},
journal= {arXiv preprint arXiv:2312.09482},
year = {2023}
}