Elliptic curve point counting over finite fields with Gaussian normal basis

DOI10.3792/pjaa.79.5zbMath1114.11057OpenAlexW2062264340MaRDI QIDQ1418381

Sang Geun Hahn, Jung Youl Park, Je Hong Park

Publication date: 2003

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1116442544

zbMATH Keywords

elliptic curvepoint countingGaussian normal basiselliptic curves over binary fields

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Curves over finite and local fields (11G20) Elliptic curves over local fields (11G07)

Cites Work

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• Fast computation of canonical lifts of elliptic curves and its application to point counting.
• A Comparison and a Combination of SST and AGM Algorithms for Counting Points of Elliptic Curves in Characteristic 2
• Satoh's algorithm in characteristic 2

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