论文标题

椭圆曲线的近MDS代码

Near-MDS codes from elliptic curves

论文作者

Aguglia, Angela, Giuzzi, Luca, Sonnino, Angelo

论文摘要

我们提供了$ [n,9,n-9]的新结构_q $近MDS代码,该代码是由椭圆曲线带有$ n $ $ {\ mathbb f} _q $ - $ rational-rational-points。此外,我们表明,在某些情况下,这些代码不能扩展到更长的近MDS代码。

We provide a new construction of $[n,9,n-9]_q$ near-MDS codes arising from elliptic curves with $n$ ${\mathbb F}_q$-rational points. Furthermore we show that in some cases these codes cannot be extended to longer near-MDS codes.

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