Cubic curves, finite geometry and cryptography

DOI10.1007/s10440-011-9620-zzbMath1236.94050arXiv1107.4387OpenAlexW3104937835MaRDI QIDQ637507

J. W. P. Hirschfeld, Aiden A. Bruen, David L. Wehlau

Publication date: 6 September 2011

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.4387

zbMATH Keywords

finite geometriesgroup lawelliptic curve cryptographycubic curvesnon-singularity

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Curves over finite and local fields (11G20) Combinatorial structures in finite projective spaces (51E20) Applications to coding theory and cryptography of arithmetic geometry (14G50) Authentication, digital signatures and secret sharing (94A62)

Related Items (3)

Small complete caps from singular cubics. II ⋮ Bounds for Arcs of Arbitrary Degree in Finite Desarguesian Planes ⋮ Weight enumerators of Reed-Muller codes from cubic curves and their duals

Cites Work

• Nonsingular plane cubic curves over finite fields
• On the completeness of certain plane arcs
• Maximum distance separable codes and arcs in projective spaces
• A Note on Elliptic Curves Over Finite Fields
• A note on elliptic curves over finite fields
• Abelian varieties over finite fields
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