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A class of optimal ternary cyclic codes and their duals

  • Published:2016-01 Issue: Volume:37 Page:193-202
  • ISSN:1071-5797
  • Container-title:Finite Fields and Their Applications
  • language:en
  • Short-container-title:Finite Fields and Their Applications

Author:

Fan Cuiling,Li Nian,Zhou Zhengchun

Funder

Natural Science Foundation of China

Sichuan Provincial Youth Science and Technology Fund

Southeast University

Publisher

Elsevier BV

Subject

Applied Mathematics,General Engineering,Algebra and Number Theory,Theoretical Computer Science

Reference25 articles.

1. Linear codes from highly nonlinear functions and their secret sharing schemes;Carlet;IEEE Trans. Inf. Theory,2005

2. On subfield subcodes of modified Reed–Solomon codes;Delsarte;IEEE Trans. Inf. Theory,1975

3. Hamming weights in irreducible cyclic codes;Ding;Discrete Math.,2013

4. A q-polynomial approach to cyclic codes;Ding;Finite Fields Appl.,2013

5. Cyclic codes from some monomials and trinomials;Ding;SIAM J. Discrete Math.,2013

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1. Codes and pseudo-geometric designs from the ternary m-sequences with Welch-type decimation d = 2 ⋅ 3(−1)/2 + 1;Finite Fields and Their Applications;2024-02

2. Several classes of optimal cyclic codes with three zeros;Applicable Algebra in Engineering, Communication and Computing;2023-12-07

3. On the Ding and Helleseth's 7th open problem about optimal ternary cyclic codes;Finite Fields and Their Applications;2023-12

4. Several classes of optimal p-ary cyclic codes with minimum distance four;Finite Fields and Their Applications;2023-12

5. Three new classes of optimal quinary cyclic codes with minimum distance four;Applicable Algebra in Engineering, Communication and Computing;2023-08-07
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