On Group Structures Realized by Elliptic Curves over a Fixed Finite Field

DOI10.1080/10586458.2012.632754zbMath1257.11061arXiv1003.3000OpenAlexW2050776903MaRDI QIDQ2883919

Reza Rezaeian Farashahi, Igor E. Shparlinski

Publication date: 14 May 2012

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.3000

zbMATH Keywords

finite fieldelliptic curvegroup structure

Mathematics Subject Classification ID

Elliptic curves (14H52) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15)

Related Items (1)

A survey on the group of points arising from elliptic curves with a Weierstrass model over a ring

Cites Work

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• Factoring integers with elliptic curves
• Nonsingular plane cubic curves over finite fields
• Algebraic-geometric codes and asymptotic problems
• The complexity of certain multi-exponentiation techniques in cryptography
• On Group Structures Realized by Elliptic Curves over Arbitrary Finite Fields
• ARTIN'S CONJECTURE FOR PRIMITIVE ROOTS
• A Note on Elliptic Curves Over Finite Fields

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