An efficient deterministic test for Kloosterman sum zeros (Q2862534)

scientific article; zbMATH DE number 6227560

Language	Label	Description	Also known as
English	An efficient deterministic test for Kloosterman sum zeros	scientific article; zbMATH DE number 6227560

Statements

instance of

scholarly article

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title

An efficient deterministic test for Kloosterman sum zeros (English)

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Mathematics of Computation

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publication date

15 November 2013

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full work available at URL

https://arxiv.org/abs/1104.3882

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zbMATH Keywords

Kloosterman sum zeros

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elliptic curves

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Sylow $p$-subgroups

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describes a project that uses

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Q4090833

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The distribution of the number of points modulo an integer on elliptic curves over finite fields

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Hyperbent Functions, Kloosterman Sums, and Dickson Polynomials

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The divisibility modulo 24 of Kloosterman sums on $\text{GF}(2^m)$, $m$ odd

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Propagation characteristics of $x\mapsto x^{-1}$ and Kloosterman sums

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Sequences of numbers generated by addition in formal groups and new primality and factorization tests

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On binary Kloosterman sums divisible by 3

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Binary Kloosterman Sums Modulo 256 and Coefficients of the Characteristic Polynomial

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Binary Kloosterman sums using Stickelberger's theorem and the Gross–Koblitz formula

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Some congruences of Kloosterman sums and their characteristic polynomials

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Monomial and quadratic bent functions over the finite fields of odd characteristic

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The weights of the orthogonals of the extended quadratic binary Goppa codes

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Factoring integers with elliptic curves

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On zeros of Kloosterman sums

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Determining the $2$-Sylow subgroup of an elliptic curve over a finite field

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Computing the $\ell $-power torsion of an elliptic curve over a finite field

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Kloosterman sums, elliptic curves, and irreducible polynomials with prescribed trace and norm

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The divisibility modulo 24 of Kloosterman sums on $\text{GF}(2^m)$, $m$ even

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Kloosterman sum identities and low-weight codewords in a cyclic code with two zeros

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The distribution of values of Kloosterman sums

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Rational points on Igusa curves and $L$-functions of symmetric representations

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The canonical lift of an ordinary elliptic curve over a finite field and its point counting

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On the Values of Kloosterman Sums

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Kloosterman sums and the $p$-torsion of certain Jacobians

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Q4409130

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Q4406363

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Identifiers

zbMATH Open document ID

1285.11146

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DOI

10.1090/S0025-5718-2013-02705-6

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2862534