The weight distributions of two classes of \(p\)-ary cyclic codes

DOI10.1016/J.FFA.2014.05.001zbMath1332.94106OpenAlexW2033681707MaRDI QIDQ740311

Xiaoqiang Wang, Dabin Zheng, Lei Hu, Xiangyong Zeng

Publication date: 2 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2014.05.001

zbMATH Keywords

quadratic formweight distributioncyclic codeexponential sum

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Exponential sums (11T23) Cyclic codes (94B15)

Related Items (17)

On the weight distributions of some cyclic codes ⋮ 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 ⋮ Recent progress on weight distributions of cyclic codes over finite fields ⋮ The weight distribution of a class of cyclic codes containing a subclass with optimal parameters ⋮ The weight distributions of constacyclic codes ⋮ Vectorial bent functions and linear codes from quadratic forms ⋮ On the weight distributions of a class of cyclic codes ⋮ A new class of distance-optimal binary cyclic codes and their duals ⋮ A class of optimal ternary cyclic codes and their duals ⋮ The weight distribution of a class of \(p\)-ary cyclic codes and their applications ⋮ A note on the weight distribution of some cyclic codes ⋮ Weight distribution of cyclic codes defined by quadratic forms and related curves ⋮ The weight distributions of two classes of \(p\)-ary cyclic codes with few weights ⋮ On an open problem about a class of optimal ternary cyclic codes ⋮ The weight enumerators of several classes of \(p\)-ary cyclic codes ⋮ The weight distributions of two classes of binary cyclic codes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The weight distribution of a class of \(p\)-ary cyclic codes
• A triple-error-correcting cyclic code from the Gold and Kasami-Welch APN power functions
• On cyclic codes of length \(2^{2^r}-1\) with two zeros whose dual codes have three weights
• 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
• Weight distribution of some reducible cyclic codes
• A class of three-weight cyclic codes
• The Weight Distributions of Several Classes of Cyclic Codes From APN Monomials
• The Weight Distribution of a Class of Cyclic Codes Related to Hermitian Forms Graphs
• The weight distribution of a class of linear codes from perfect nonlinear functions
• On the Weight Distributions of Two Classes of Cyclic Codes
• On subfield subcodes of modified Reed-Solomon codes (Corresp.)
• 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
• A Family of Two-Weight Irreducible Cyclic Codes
• Five Families of Three-Weight Ternary Cyclic Codes and Their Duals
• A Family of Five-Weight Cyclic Codes and Their Weight Enumerators

This page was built for publication: The weight distributions of two classes of \(p\)-ary cyclic codes