Weight distribution of cyclic codes with arbitrary number of generalized Niho type zeroes

DOI10.1007/s10623-014-0027-5zbMath1333.94066OpenAlexW2051894828MaRDI QIDQ256583

Maosheng Xiong, Cunsheng Ding, Nian Li, Zhengchun Zhou

Publication date: 9 March 2016

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-014-0027-5

zbMATH Keywords

weight distributionVandermonde matrixcyclic codesNiho exponent

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Trigonometric and exponential sums (general theory) (11L03) Cyclic codes (94B15)

Related Items (6)

A survey on the applications of Niho exponents ⋮ A class of binary cyclic codes with generalized Niho exponents ⋮ Differential spectra of a class of power permutations with Niho exponents ⋮ Further investigations on permutation based constructions of bent functions ⋮ The weight distribution of a class of \(p\)-ary cyclic codes and their applications ⋮ Recent results and problems on constructions of linear codes from cryptographic functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The weight distribution of a class of \(p\)-ary cyclic codes
• A class of binary cyclic codes with five weights
• 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
• Explicit evaluation of some exponential sums
• All two-weight irreducible cyclic codes?
• Hasse-Davenport curves, Gauss sums, and weight distributions of irreducible cyclic codes
• 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
• New classes of 2-weight cyclic codes
• Weight distribution of some reducible cyclic codes
• Euler products, cyclotomy, and coding
• Sums of Gauss sums and weights of irreducible codes
• On the Weight Distribution of Cyclic Codes With Niho Exponents
• The Weight Distribution of a Class of Cyclic Codes Related to Hermitian Forms Graphs
• The Weight Distributions of Cyclic Codes and Elliptic Curves
• On the Weight Distributions of Two Classes of Cyclic Codes
• Cyclic Codes and Sequences From Generalized Coulter–Matthews Function
• The Geometry of Two-Weight Codes
• Quantum codes from cyclic codes over GF(4/sup m/)
• Weight distributions of some binary primitive cyclic codes
• Families of curves and weight distributions of codes
• 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
• Optimal Sets of Frequency Hopping Sequences From Linear Cyclic Codes
• A Family of Two-Weight Irreducible Cyclic Codes
• Cyclic Codes and Sequences: The Generalized Kasami Case
• Evaluation of the Weight Distribution of a Class of Cyclic Codes Based on Index 2 Gauss Sums
• Weight Distribution of a Class of Cyclic Codes With Arbitrary Number of Zeros
• On the Walsh Transform of a Class of Functions From Niho Exponents
• Determining the Number of One-Weight Cyclic Codes When Length and Dimension Are Given
• Weights of irreducible cyclic codes
• Coding and Cryptography

This page was built for publication: Weight distribution of cyclic codes with arbitrary number of generalized Niho type zeroes