scientific article
From MaRDI portal
Publication:3478531
zbMath0701.14033MaRDI QIDQ3478531
Nicholas M. Katz, Ron A. Livné
Publication date: 1989
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
weight distributionclass numbersisogeny class of elliptic curvescodesfrequencies of the values of certain ternary Kloosterman sums
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Elliptic curves (14H52) Class numbers, class groups, discriminants (11R29) Isogeny (14K02)
Related Items
New open problems related to old conjectures by Helleseth ⋮ On classical Kloosterman sums ⋮ The \(p\)-adic valuations of Weil sums of binomials ⋮ Divisibility of Weil sums of binomials ⋮ Two classes of ternary LCD constacyclic BCH codes ⋮ On the enumeration of irreducible polynomials over \(\mathrm{GF}(q)\) with prescribed coefficients ⋮ Some congruences of Kloosterman sums and their characteristic polynomials ⋮ On the moments of Kloosterman sums and fibre products of Kloosterman curves ⋮ Weil sums of binomials, three-level cross-correlation, and a conjecture of Helleseth ⋮ Artin-Schreier curves, exponential sums, and the Carlitz-Uchiyama bound for geometric codes ⋮ Crosscorrelation of \(m\)-sequences, exponential sums, bent functions and Jacobsthal sums ⋮ Kloosterman sums and Hecke polynomials in characteristics 2 and 3 ⋮ Artin-Schreier curves, exponential sums, and coding theory ⋮ On Kloosterman sums over finite fields of characteristic 3 ⋮ Special values of Kloosterman sums and binomial bent functions ⋮ Exponential sums and \(\ell\)-adic cohomology: A survey. ⋮ A transform property of Kloosterman sums ⋮ Cyclotomy of Weil sums of binomials ⋮ Cyclotomy of Weil sums of binomials ⋮ Binary Kloosterman Sums with Value 4 ⋮ Proof of a conjectured three-valued family of Weil sums of binomials ⋮ An efficient deterministic test for Kloosterman sum zeros ⋮ A Conjecture About Gauss Sums and Bentness of Binomial Boolean Functions
