Optimal \(p\)-ary cyclic codes with minimum distance four from monomials

DOI10.1007/s12095-015-0159-0zbMath1372.94467OpenAlexW2218036766MaRDI QIDQ301634

Guangkui Xu, Shanding Xu, Xiwang Cao

Publication date: 1 July 2016

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

Full work available at URL: https://doi.org/10.1007/s12095-015-0159-0

zbMATH Keywords

finite fieldcyclic codealmost perfect nonlinear functionperfect nonlinear function

Mathematics Subject Classification ID

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

Related Items (18)

A family of optimal ternary cyclic codes with minimum distance five and their duals ⋮ A class of affine-invariant codes and their support 2-designs ⋮ 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 ⋮ Infinite families of 2-designs from a class of affine-invariant 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 ⋮ Infinite families of 2‐designs derived from affine‐invariant codes ⋮ Three classes of optimal Hermitian dual-containing codes and quantum codes ⋮ Optimal quinary negacyclic codes with minimum distance four ⋮ Further results on optimal ternary cyclic codes ⋮ More constructions of 3-weight linear codes ⋮ New classes of optimal ternary cyclic codes with minimum distance four ⋮ A class of subfield codes of linear codes and their duals ⋮ On some conjectures about optimal ternary cyclic codes ⋮ On some conjectures about optimal ternary cyclic codes

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