Finding the group structure of elliptic curves over finite fields

DOI10.1017/S0004972700035048zbMath1085.11060MaRDI QIDQ5717395

Carl B. Pomerance, John B. Friedlander, Igor E. Shparlinski

Publication date: 13 January 2006

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

algorithmsfinite fieldelliptic curvefactorizationdivision sums

Mathematics Subject Classification ID

Number-theoretic algorithms; complexity (11Y16) Curves over finite and local fields (11G20)

Cites Work

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• Factoring integers with elliptic curves
• Nonsingular plane cubic curves over finite fields
• Modifications to the number field sieve
• The Weil pairing, and its efficient calculation
• Die Typen der Multiplikatorenringe elliptischer Funktionenkörper
• Elliptic Curves Over Finite Fields and the Computation of Square Roots mod p
• A Rigorous Time Bound for Factoring Integers
• A hyperelliptic smoothness test. I
• How the Number of Points of An Elliptic Curve Over a Fixed Prime Field Varies

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