On Weil sums, conjectures of Helleseth, and Niho exponents
From MaRDI portal
Publication:2071703
DOI10.1016/j.jnt.2021.06.022zbMath1495.11138arXiv2006.15726OpenAlexW3185061983WikidataQ114156863 ScholiaQ114156863MaRDI QIDQ2071703
Publication date: 28 January 2022
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.15726
Cites Work
- Unnamed Item
- New open problems related to old conjectures by Helleseth
- Weil sums of binomials, three-level cross-correlation, and a conjecture of Helleseth
- 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
- On Niho type cross-correlation functions of \(m\)-sequences
- Some results about the cross-correlation function between two maximal linear sequences
- A survey on the applications of Niho exponents
- Divisibility of Weil sums of binomials
- 7. Weil sums of binomials: properties, applications and open problems
- The Geometry of m-Sequences: Three-Valued Crosscorrelations and Quadrics in Finite Projective Geometry
- Binary m-sequences with three-valued crosscorrelation: a proof of Welch's conjecture
- Proof of a conjecture of Sarwate and Pursley regarding pairs of binary m-sequences
- On a conjecture of Helleseth regarding pairs of binary m-sequences
- Proof of a conjectured three-valued family of Weil sums of binomials
- On maximal comma-free codes (Corresp.)
- Cyclotomy of Weil sums of binomials
- A proof of the Welch and Niho conjectures on cross-correlations of binary \(m\)-sequences