Jacobi sums over finite fields

DOI10.4064/aa102-1-1zbMath1047.11116OpenAlexW2074059432MaRDI QIDQ2781446

Paul van Wamelen

Publication date: 20 March 2002

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa102-1-1

zbMATH Keywords

finite fieldscyclotomic polynomialsJacobi sumsmultiplicative characters

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Cyclotomy (11T22)

Related Items (10)

EXPLICIT DETERMINATION OF CERTAIN MINIMAL ABELIAN CODES AND THEIR MINIMUM DISTANCES ⋮ A note on weight distributions of irreducible cyclic codes ⋮ Explicit lifts of quintic Jacobi sums and period polynomials for \(\mathbb F_q\) ⋮ Cyclotomic problem, Gauss sums and Legendre curve ⋮ Cyclotomic Numbers and Jacobi Sums: A Survey ⋮ Explicit determination of certain minimal constabelian codes ⋮ New Hadamard matrices of order \(4p^{2}\) obtained from Jacobi sums of order 16 ⋮ Davenport and Hasse's theorems and lifts of multiplication matrices of Gaussian periods ⋮ Cyclotomic numbers and primitive idempotents in the ring \(\mathrm{GF}(q)[x/(x^{p^n} - 1)\)] ⋮ Complete congruences of Jacobi sums of order \(2l^2\) with prime \(l\)

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