Jacobi Sums, Irreducible Zeta-Polynomials, and Cryptography

DOI10.4153/CMB-1991-037-6zbMath0686.12011MaRDI QIDQ4204235

Neal Koblitz

Publication date: 1991

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

Jacobianzeta-functionirreducible polynomialpublic key cryptographyJacobi sumalmost primalitygeneralized Mersenne problem

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Polynomials in general fields (irreducibility, etc.) (12E05) Jacobians, Prym varieties (14H40) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Gauss and Kloosterman sums; generalizations (11L05) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10)

Related Items (5)

Composition-diamond lemma for associative conformal algebras. ⋮ Asymptotic properties of zeta-functions over finite fields ⋮ Calculation of certain Gauss sums ⋮ On some questions related to the Gauss conjecture for function fields ⋮ Quadratic Gauss sums

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