On the discrete logarithm in the divisor class group of curves

DOI10.1090/S0025-5718-99-01043-1zbMath1036.11030OpenAlexW2039596581MaRDI QIDQ4235519

Hans-Georg Rück

Publication date: 22 March 1999

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-99-01043-1

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15)

Related Items (4)

A Weil pairing on the \(p\)-torsion of ordinary elliptic curves over \(K[\varepsilon\)] ⋮ Selection of secure hyperelliptic curves of \textit{g=2} based on a subfield ⋮ Algebraic curves and cryptography ⋮ Generating Genus Two Hyperelliptic Curves over Large Characteristic Finite Fields

Cites Work

• Unnamed Item
• A Remark Concerning m-Divisibility and the Discrete Logarithm in the Divisor Class Group of Curves
• Evaluation of discrete logarithms in a group of 𝑝-torsion points of an elliptic curve in characteristic 𝑝

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