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arXiv · 0904.4094

On the Upper Bounds of MDS Codes

Jiansheng Yang·Yunying Zhang
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Abstract

Let $M_{q}(k)$ be the maximum length of MDS codes with parameters $q,k$. In this paper, the properties of $M_{q}(k)$ are studied, and some new upper bounds of $M_{q}(k)$ are obtained. Especially we obtain that $M_{q}(q-1)\leq q+2(q\equiv4(mod 6)), M_{q}(q-2)\leq q+1(q\equiv4(mod 6)), M_{q}(k)\leq q+k-3 (q=36(5s+1), s\in N$ and $ k=6,7).

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Jiansheng Yang, Yunying Zhang. 2009-04-27. On the Upper Bounds of MDS Codes. https://arxiv.org/abs/0904.4094

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