Analysis of the Xedni calculus attack

DOI10.1023/A:1008312401197zbMath0948.11048MaRDI QIDQ1974057

Neal Koblitz, Edlyn Teske, Joseph H. Silverman, Michael J. Jacobson jun., Andreas Stein

Publication date: 20 November 2000

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

zbMATH Keywords

elliptic curvesrankdiscrete logarithm problemXedni calculus attack

Mathematics Subject Classification ID

Cryptography (94A60) Elliptic curves over global fields (11G05) Number-theoretic algorithms; complexity (11Y16) Computational aspects of algebraic curves (14Q05)

Related Items (10)

Obstacles to the torsion-subgroup attack on the decision Diffie-Hellman Problem ⋮ The multi-base discrete logarithm problem: tight reductions and non-rewinding proofs for Schnorr identification and signatures ⋮ Elliptic curve cryptography: the serpentine course of a paradigm shift ⋮ Recent progress on the elliptic curve discrete logarithm problem ⋮ Elliptic curve lifting problem and its applications ⋮ Algebraic curves and cryptography ⋮ Index calculus for abelian varieties of small dimension and the elliptic curve discrete logarithm problem ⋮ Computing Prime Factorization And Discrete Logarithms: From Index Calculus To Xedni Calculus ⋮ Global Duality, Signature Calculus and the Discrete Logarithm Problem ⋮ Lifting and Elliptic Curve Discrete Logarithms

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