Quasi-cyclic Goppa codes with special Goppa polynomials and matched location sets

DOI10.1007/s12095-016-0196-3zbMath1380.94142OpenAlexW2460597230MaRDI QIDQ502401

Sergei V. Bezzateev, Natalia A. Shekhunova

Publication date: 5 January 2017

Published in: Cryptography and Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12095-016-0196-3

zbMATH Keywords

quasi-cyclic codesGoppa codesoptimal codesspecial Goppa polynomial

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Bounds on codes (94B65) Other types of codes (94B60) Cyclic codes (94B15)

Related Items (2)

Two classes of quasi-cyclic codes via irreducible polynomials ⋮ Totally decomposed cumulative Goppa codes with improved estimations

Uses Software

• Magma

Cites Work

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• Which extended Goppa codes are cyclic?
• The Magma algebra system. I: The user language
• On the cyclicity of Goppa codes, parity-check subcodes of Goppa codes, and extended Goppa codes
• A new subclass of cyclic Goppa codes
• Goppa and related codes invariant under a prescribed permutation
• Chain of Separable Binary Goppa Codes and Their Minimal Distance
• Symmetries of binary Goppa codes (Corresp.)
• On extending Goppa codes to cyclic codes (Corresp.)
• Characterization theorems for extending Goppa codes to cyclic codes (Corresp.)
• Goppa codes and trace operator
• Extended double-error-correcting binary Goppa codes are cyclic (Corresp.)
• New classes of cyclic extended Goppa codes
• Some results on quasi-cyclic codes
• Algebraic Codes for Data Transmission

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