A class of optimal ternary cyclic codes and their duals

DOI10.1016/j.ffa.2015.10.004zbMath1354.94066arXiv1510.05048OpenAlexW2137451425MaRDI QIDQ897332

Nian Li, Zhengchun Zhou, Cui Ling Fan

Publication date: 17 December 2015

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

Full work available at URL: https://arxiv.org/abs/1510.05048

zbMATH Keywords

cyclic codeoptimal codesphere packing bound

Mathematics Subject Classification ID

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

Related Items (16)

A family of optimal ternary cyclic codes with minimum distance five and their duals ⋮ On the minimum distance of negacyclic 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 ⋮ Codes and pseudo-geometric designs from the ternary \(m\)-sequences with Welch-type decimation \(d = 2 \cdot 3^{(n -1)/2} + 1\) ⋮ Optimal quinary negacyclic codes with minimum distance four ⋮ Further results on optimal ternary cyclic codes ⋮ Two classes of binary cyclic codes and their weight distributions ⋮ A class of subfield codes of linear codes and their duals ⋮ A family of optimal ternary cyclic codes from the Niho-type exponent ⋮ On some conjectures about optimal ternary cyclic codes ⋮ On some conjectures about optimal ternary cyclic codes ⋮ On an open problem about a class of optimal ternary cyclic codes

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