On three weights in cyclic codes with two zeros.
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Publication:1418185
DOI10.1016/S1071-5797(03)00045-5zbMath1119.94016OpenAlexW2015850851MaRDI QIDQ1418185
Publication date: 19 January 2004
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s1071-5797(03)00045-5
Related Items (25)
On the weight distributions of some cyclic codes ⋮ Weight distributions for projective binary linear codes from Weil sums ⋮ Recent progress on weight distributions of cyclic codes over finite fields ⋮ Three-weight linear codes from Weil sums ⋮ The weight distribution of a class of cyclic codes containing a subclass with optimal parameters ⋮ The weight distributions of constacyclic codes ⋮ Complete weight enumerators of a class of three-weight linear codes ⋮ The weight distributions of a class of non-primitive cyclic codes with two nonzeros ⋮ Weight distributions of cyclic codes with respect to pairwise coprime order elements ⋮ On the weight distributions of a class of cyclic codes ⋮ Three-weight cyclic codes and their weight distributions ⋮ A class of binary cyclic codes with five weights ⋮ The weight enumerator of the duals of a class of cyclic codes with three zeros ⋮ On Niho type cross-correlation functions of \(m\)-sequences ⋮ The weight distribution of a family of \(p\)-ary cyclic codes ⋮ The weight distributions of a class of cyclic codes. II ⋮ Cyclic codes with few weights and Niho exponents ⋮ The weight distributions of a class of cyclic codes ⋮ The values of two classes of Gaussian periods in index 2 case and weight distributions of linear codes ⋮ On differential uniformity and nonlinearity of functions ⋮ Weight distributions of a class of cyclic codes from \(\mathbb F_l\)-conjugates ⋮ The weight distributions of two classes of \(p\)-ary cyclic codes ⋮ Complete weight enumerators of a class of linear codes with two or three weights ⋮ The weight enumerators of several classes of \(p\)-ary cyclic codes ⋮ A class of cyclic codes from two distinct finite fields
Cites Work
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- Almost perfect nonlinear power functions on \(\mathrm{GF}(2^n)\): the Niho case.
- Binary m-sequences with three-valued crosscorrelation: a proof of Welch's conjecture
- Almost perfect nonlinear power functions on GF(2/sup n/): the Welch case
- On the minimum distance of cyclic codes
- Some new three-valued crosscorrelation functions for binary m-sequences
- Weight Divisibility of Cyclic Codes, Highly Nonlinear Functions on F2m, and Crosscorrelation of Maximum-Length Sequences
- Four fundamental parameters of a code and their combinatorial significance
- Maximal recursive sequences with 3-valued recursive cross-correlation functions (Corresp.)
- A proof of the Welch and Niho conjectures on cross-correlations of binary \(m\)-sequences
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