The weight distributions of two classes of binary cyclic codes

DOI10.1016/j.ffa.2015.01.012zbMath1393.94945OpenAlexW4231197506MaRDI QIDQ2348172

Xiangyong Zeng, Dabin Zheng, Xiaoqiang Wang, Lei Hu

Publication date: 10 June 2015

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2015.01.012

zbMATH Keywords

quadratic formweight distributioncyclic codeexponential sum

Mathematics Subject Classification ID

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

Related Items (14)

Three classes of linear codes with two or three weights ⋮ Two classes of two-weight linear codes ⋮ 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 ⋮ The punctured codes of two classes of cyclic codes with few weights ⋮ A unified construction of optimal and distance optimal two or three-weight codes ⋮ Some subfield codes from MDS codes ⋮ Bounds for the sum of distances of spherical sets of small size ⋮ Further projective binary linear codes derived from two-to-one functions and their duals ⋮ A class of linear codes with two weights or three weights from some planar functions ⋮ Complete weight distributions of two classes of cyclic codes ⋮ The values of two classes of Gaussian periods in index 2 case and weight distributions of linear codes ⋮ Binary linear codes with few weights from Boolean functions

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