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arXiv · 0707.4083

Chain of Separable Binary Goppa Codes and their Minimal Distance

Sergey Bezzateev·Natalia Shekhunova
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Abstract

It is shown that subclasses of separable binary Goppa codes, $Γ(L,G)$ - codes, with $L=\{α\in GF(2^{2l}):G(α)\neq 0 \}$ and special Goppa polynomials G(x) can be presented as a chain of embedded codes. The true minimal distance has been obtained for all codes of the chain.

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Sergey Bezzateev, Natalia Shekhunova. 2007-07-27. Chain of Separable Binary Goppa Codes and their Minimal Distance. https://arxiv.org/abs/0707.4083

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