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arXiv · 2109.13413

Extended Irreducible Binary Sextic Goppa codes

Daitao Huang·Qin Yue
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Abstract

Let $n (>3)$ be a prime number and $\Bbb F_{2^n}$ a finite field of $2^n$ elements. Let $L =\Bbb F_{2^n}\cup \{\infty\}$ be the support set and $g(x)$ an irreducible polynomial of degree $6$ over $\Bbb F_{2^n}$. In this paper, we obtain an upper bound on the number of extended irreducible binary Goppa codes $Γ(L, g)$ of degree $6$ and length $2^n+1$.

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Daitao Huang, Qin Yue. 2021-09-28. Extended Irreducible Binary Sextic Goppa codes. https://arxiv.org/abs/2109.13413

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