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arXiv · 2609.05292

On the lengths of MDS codes with a two-transitive permutation automorphism group

Haihua Deng·Tao Feng·Andrey V. Vasil'ev
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Abstract

Let $C$ be an $[n,k]_q$ maximum distance separable (MDS) code with $4\le k\le q-3$, and suppose that it has a $2$-transitive permutation automorphism group. In this paper we show that $n\le q+1$, so the MDS conjecture holds for this class of codes.

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Haihua Deng, Tao Feng, Andrey V. Vasil'ev. 2026-09-04. On the lengths of MDS codes with a two-transitive permutation automorphism group. https://arxiv.org/abs/2609.05292

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