The weight distributions of a class of non-primitive cyclic codes with two nonzeros

DOI10.1007/s11425-014-4888-xzbMath1358.94101OpenAlexW1963869692MaRDI QIDQ889820

Feng-Li Zhou, Lei Hu, Xiangyong Zeng, Dabin Zheng

Publication date: 9 November 2015

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-014-4888-x

zbMATH Keywords

weight distributioncyclic codeGaussian sumJacobi sum

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On cyclic codes of length \(2^{2^r}-1\) with two zeros whose dual codes have three weights
• Cyclic codes with few weights and Niho exponents
• The weight distributions of a class of cyclic codes
• The weight distributions of cyclic codes with two zeros and zeta functions
• On three weights in cyclic codes with two zeros.
• Hamming weights in irreducible cyclic codes
• The weight distributions of a class of cyclic codes. III
• The weight distributions of a class of cyclic codes. II
• Weight distribution of some reducible cyclic codes
• Kloosterman sum identities and low-weight codewords in a cyclic code with two zeros
• The Weight Distributions of Several Classes of Cyclic Codes From APN Monomials
• The Weight Distributions of Cyclic Codes and Elliptic Curves
• The weight distribution of a class of linear codes from perfect nonlinear functions
• The determination of Gauss sums
• Period polynomials and Gauss sums for finite fields
• The Weight Distribution of an Extended Class of Reducible Cyclic Codes
• The Weight Distributions of the Duals of Cyclic Codes With Two Zeros
• The Weight Enumerator of a Class of Cyclic Codes
• The Weight Enumerator of Three Families of Cyclic Codes