Zeta functions, one-way functions, and pseudorandom number generators.

DOI10.1215/S0012-7094-97-08815-3zbMath1053.11533OpenAlexW46725029MaRDI QIDQ1362085

Dorian Goldfeld, Michael Anshel

Publication date: 1997

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-97-08815-3

Mathematics Subject Classification ID

Cryptography (94A60) Other Dirichlet series and zeta functions (11M41) Pseudo-random numbers; Monte Carlo methods (11K45)

Related Items (5)

A class of hash functions based on the Algebraic Eraser\(^{\text{TM}}\) ⋮ On elliptic curve $L$-functions integrated encryption scheme ⋮ Point counting in families of hyperelliptic curves ⋮ On pseudorandomness in families of sequences derived from the Legendre symbol ⋮ Classical and quantum function reconstruction via character evaluation

Uses Software

• ecdata

Cites Work

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• Modular elliptic curves and Fermat's Last Theorem
• Ring-theoretic properties of certain Hecke algebras
• Galois properties of points of finite order of elliptic curves
• Automorphic forms on GL (2)
• Old and new conjectured diophantine inequalities
• How to Generate Cryptographically Strong Sequences of Pseudorandom Bits
• Elliptic Curves Over Finite Fields and the Computation of Square Roots mod p
• On the Existence of Pseudorandom Generators
• Die gruppentheoretische Struktur der Diskriminanten algebraischer Zahlkörper.
• Counting curves and their projections

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