Computer Algebra Tales on Goppa Codes and McEliece Cryptography

被引：0
|
作者：
Narcís Sayols
Sebastià Xambó-Descamps
机构：
[1] Automàtica i Informàtica Industrial Universitat Politècnica de Catalunya,Departament d’Enginyeria de Sistemes
[2] Universitat Politècnica de Catalunya,Department de Matemàtiques
来源：
Mathematics in Computer Science | 2020年 / 14卷
关键词：
Symbolic computation; Error-correcting codes; Post-quantum cryptography; Primary 68W30; 11T71; 94Bxx; 94B35; 94A60; Secondary 01-02; 01-08; 01A65;
D O I：
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中图分类号：
学科分类号：
摘要：
The 40-year old McEliece public-key crypto-system is revisited with the help of recently developed resources: an improved Peterson–Gorenstein–Zierler decoder for alternant error-correcting codes; PyECC, a purely Python CAS; a package of PyECC functional utilities for the computations involved in defining, coding and decoding error-correcting codes; and a Web page with free-access to companion materials. The last two tales trace the evolution of the McEliece systems and provide an account about their current security levels.
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页码：457 / 469
页数：12
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