Cyclic codes with few weights and Niho exponents
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Publication:703686
DOI10.1016/j.jcta.2004.07.001zbMath1072.94016OpenAlexW1988094325MaRDI QIDQ703686
Publication date: 11 January 2005
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcta.2004.07.001
finite fieldnonlinearitycyclic codeBoolean functionNiho exponentcrosscorrelationbalanced codewordmaximum-length sequence
Related Items (32)
New open problems related to old conjectures by Helleseth ⋮ Weight distributions for projective binary linear codes from Weil sums ⋮ Recent progress on weight distributions of cyclic codes over finite fields ⋮ A survey on the applications of Niho exponents ⋮ Three-weight linear codes from Weil sums ⋮ A class of binary cyclic codes with generalized Niho exponents ⋮ The weight distribution of a class of cyclic codes containing a subclass with optimal parameters ⋮ Permutation polynomials and applications to coding theory ⋮ The \(p\)-adic valuations of Weil sums of binomials ⋮ Weight distributions of cyclic codes of length \(t l^m\) ⋮ The weight distributions of constacyclic codes ⋮ Divisibility of Weil sums of binomials ⋮ The weight distributions of a class of non-primitive cyclic codes with two nonzeros ⋮ Differential spectra of a class of power permutations with Niho exponents ⋮ Weight distributions of cyclic codes with respect to pairwise coprime order elements ⋮ A class of binary cyclic codes with five weights ⋮ Several classes of Niho type Boolean functions with few Walsh transform values ⋮ Binary cyclic codes with two primitive nonzeros ⋮ Weil sums of binomials, three-level cross-correlation, and a conjecture of Helleseth ⋮ Weight distributions of cyclic codes of length \(l^m\) ⋮ On cyclic codes of length \(2^{2^r}-1\) with two zeros whose dual codes have three 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 distributions of a class of cyclic codes. II ⋮ A generalization of Niho's theorem ⋮ The weight distributions of a class of cyclic codes ⋮ Weight distributions of a class of cyclic codes from \(\mathbb F_l\)-conjugates ⋮ Cyclotomy of Weil sums of binomials ⋮ Cyclotomy of Weil sums of binomials ⋮ On Weil sums, conjectures of Helleseth, and Niho exponents ⋮ Complete weight enumerators of a class of linear codes with two or three weights ⋮ Weight distribution of cyclic codes with arbitrary number of generalized Niho type zeroes
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- Some results about the cross-correlation function between two maximal linear sequences
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- Codes, bent functions and permutations suitable for DES-like cryptosystems
- On three weights in cyclic codes with two zeros.
- Niho type cross-correlation functions via dickson polynomials and Kloosterman sums
- On a conjecture of Helleseth regarding pairs of binary m-sequences
- Weight Divisibility of Cyclic Codes, Highly Nonlinear Functions on F2m, and Crosscorrelation of Maximum-Length Sequences
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