The discrete logarithm problem from a local duality perspective

DOI10.1007/s11425-013-4674-1zbMath1282.11164OpenAlexW2027801287MaRDI QIDQ2438539

Mingdeh Huang

Publication date: 5 March 2014

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-013-4674-1

zbMATH Keywords

discrete logarithmlocal duality

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Number-theoretic algorithms; complexity (11Y16)

Cites Work

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• On bilinear structures on divisor class groups
• Duality theorems for curves over p-adic fields
• Local Duality and the Discrete Logarithm Problem
• A Remark Concerning m-Divisibility and the Discrete Logarithm in the Divisor Class Group of Curves
• Reducing elliptic curve logarithms to logarithms in a finite field
• The Tate pairing and the discrete logarithm applied to elliptic curve cryptosystems