Global Duality, Signature Calculus and the Discrete Logarithm Problem

DOI10.1112/S1461157000001509zbMath1236.11110arXiv0710.2363OpenAlexW2964099736MaRDI QIDQ3091979

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Publication date: 15 September 2011

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.2363

Mathematics Subject Classification ID

Data encryption (aspects in computer science) (68P25) Number-theoretic algorithms; complexity (11Y16) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (2)

Recent progress on the elliptic curve discrete logarithm problem ⋮ On the signature calculus for finite fields of order square of prime numbers

Cites Work

• The average analytic rank of elliptic curves
• Torsion points on elliptic curves and \(q\)-coefficients of modular forms
• Counting points on elliptic curves over finite fields
• Analysis of the Xedni calculus attack
• The state of elliptic curve cryptography
• Class fields over real quadratic fields and Hecke operators
• Die Typen der Multiplikatorenringe elliptischer Funktionenkörper
• Ranks of elliptic curves
• Algebraic Groups Over Finite Fields
• Average ranks of elliptic curves: Tension between data and conjecture
• Elliptic Curve Cryptosystems
• A Remark Concerning m-Divisibility and the Discrete Logarithm in the Divisor Class Group of Curves
• Integration on \({\mathcal H_p}\times\mathcal H\) and arithmetic applications.
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