On the Upper Bounds of MDS Codes

Details On the Upper Bounds of MDS Codes On the Upper Bounds of MDS Codes

2009-04-27

arxiv.org/abs/0904.4094v1

Mathematics

Combinatorics

8 Pages

Scientific paper

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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