Two classes of cyclic extended double-error-correcting Goppa codes

DOI10.3934/amc.2022003MaRDI QIDQ6067847

Qin Yue, Yun Yang, Yanyan Gao, Xinmei Huang

Publication date: 14 December 2023

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

zbMATH Keywords

minimum distancesphere packing boundcyclic Goppa codesextended Goppa codesdouble-error-correcting codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Cites Work

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• Several classes of optimal ternary cyclic codes with minimal distance four
• Optimal ternary cyclic codes with minimum distance four and five
• Which extended Goppa codes are cyclic?
• On the cyclicity of Goppa codes, parity-check subcodes of Goppa codes, and extended Goppa codes
• The primitive idempotents and weight distributions of irreducible constacyclic codes
• Primitive idempotents of irreducible cyclic codes and self-dual cyclic codes over Galois rings
• Using the Structure of Subfields in the Construction of Goppa Codes and Extended Goppa Codes
• A Generalized Construction of Extended Goppa Codes
• On extending Goppa codes to cyclic codes (Corresp.)
• Characterization theorems for extending Goppa codes to cyclic codes (Corresp.)
• Parameters of Goppa codes revisited
• Extended double-error-correcting binary Goppa codes are cyclic (Corresp.)
• New classes of cyclic extended Goppa codes
• Subclass of binary Goppa codes with minimal distance equal to the design distance
• Hulls of Generalized Reed-Solomon Codes via Goppa Codes and Their Applications to Quantum Codes
• Subclass of Cyclic Goppa Codes
• Optimal Ternary Cyclic Codes From Monomials
• LCD Cyclic Codes Over Finite Fields
• Reversible codes

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