New classes of cyclic extended Goppa codes

Berger T.P.

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New classes of cyclic extended Goppa codes

机译：新型循环扩展Goppa码

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摘要

We give a condition for a "classical" Goppa (1970) code to have a cyclic extension. This condition follows from the properties of the semilinear automorphism group of the corresponding generalized Reed-Solomon codes. Using this condition, we can construct not only all the known Goppa codes with a cyclic extension, but also new families.

机译：我们为“经典” Goppa（1970）代码具有循环扩展提供了条件。此条件来自相应的广义Reed-Solomon码的半线性自同构群的性质。利用这种条件，我们不仅可以构造具有循环扩展的所有已知Goppa码，还可以构造新的族。

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《IEEE Transactions on Information Theory》 |1999年第4期|P.1264-1266|共3页
作者
Berger T.P.;
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正文语种 eng
中图分类无线电电子学、电信技术;
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7. On the Cyclicity of Goppa Codes, Parity-Check Subcodes of Goppa Codes, and Extended Goppa Codes [O] . Berger Thierry P. 2000

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New classes of cyclic extended Goppa codes

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