On an open problem about a class of optimal ternary cyclic codes

DOI10.1016/j.ffa.2019.07.002zbMath1421.94102arXiv1901.08230OpenAlexW2963051664WikidataQ127499470 ScholiaQ127499470MaRDI QIDQ2326700

Haode Yan, Dongchun Han

Publication date: 10 October 2019

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.08230

zbMATH Keywords

cyclic codeternary codeoptimal codesphere packing bound

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cyclic codes (94B15)

Related Items (12)

Two families of optimal ternary cyclic codes with minimal distance four ⋮ A family of cyclic codes with two zeros ⋮ Several classes of optimal \(p\)-ary cyclic codes with minimum distance four ⋮ On the Ding and Helleseth's 7th open problem about optimal ternary cyclic codes ⋮ Optimal \(p\)-ary cyclic codes with two zeros ⋮ Several new classes of optimal ternary cyclic codes with minimum distance four ⋮ Two classes of new optimal ternary cyclic codes ⋮ Further results on optimal ternary cyclic codes ⋮ New classes of optimal ternary cyclic codes with minimum distance four ⋮ Recent results and problems on constructions of linear codes from cryptographic functions ⋮ A class of subfield codes of linear codes and their duals ⋮ On some conjectures about optimal ternary cyclic codes

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