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A new class of optimal binary linear complementary pairs of codes

arXiv Mathematics · WORLD · Mathematics · 11/4/2026, 12:00:00 AM

arXiv:2611.03733v1 Announce Type: new Abstract: The construction of optimal binary linear complementary pair (LCP) has recently attracted considerable attention in coding theory. Based on the Belov codes, this paper proposes a novel construction of optimal binary LCPs with $\theta=4$, extending our previous work on $\theta=3$. Our results not only yield abundant new optimal binary LCPs with flexible parameters, but also enable more optimal binary LCPs with smaller minimum distances.

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