Optimal ternary cyclic codes with minimum distance four and five

DOI10.1016/j.ffa.2014.06.001zbMath1354.94067arXiv1309.1218OpenAlexW2094825109MaRDI QIDQ405959

Cunsheng Ding, Xiaohu Tang, Chunlei Li, Nian Li, Tor Helleseth

Publication date: 8 September 2014

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

Full work available at URL: https://arxiv.org/abs/1309.1218

zbMATH Keywords

linear codescyclic codesirreducible polynomialsalmost perfect nonlinear functionsperfect nonlinear functions

Mathematics Subject Classification ID

Cyclic codes (94B15)

Related Items (24)

Several classes of optimal ternary cyclic codes with minimal distance four ⋮ A family of optimal ternary cyclic codes with minimum distance five and their duals ⋮ Optimal \(p\)-ary cyclic codes with minimum distance four from monomials ⋮ On the minimum distance of negacyclic codes with two zeros ⋮ A survey on the applications of Niho exponents ⋮ 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 ⋮ Two classes of cyclic extended double-error-correcting Goppa codes ⋮ A new class of distance-optimal binary cyclic codes and their duals ⋮ 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 ⋮ A class of optimal ternary cyclic codes and their duals ⋮ Optimal quinary negacyclic codes with minimum distance four ⋮ 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 ⋮ 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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