Group structure of elliptic curves over \(\mathbb{Z}/N\mathbb{Z}\)
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Publication:6193387
DOI10.1515/jmc-2023-0025arXiv2010.15543OpenAlexW4391826905MaRDI QIDQ6193387
Daniele Taufer, Massimiliano Sala
Publication date: 16 March 2024
Published in: Journal of Mathematical Cryptology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.15543
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Elliptic curves (14H52) Polynomials over commutative rings (13B25)
Cites Work
- Generating anomalous elliptic curves
- Complete systems of addition laws an abelian varieties
- Factoring integers with elliptic curves
- The discrete logarithm problem on elliptic curves of trace one
- The Magma algebra system. I: The user language
- Modular elliptic curves and Fermat's Last Theorem
- Complete systems of two addition laws for elliptic curves
- Bounds for the torsion of elliptic curves over number fields
- On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
- On Group Structures Realized by Elliptic Curves over Arbitrary Finite Fields
- Elliptic Curves Over Finite Fields and the Computation of Square Roots mod p
- Elliptic Curve Cryptosystems
- A Note on Elliptic Curves Over Finite Fields
- A note on elliptic curves over finite fields
- Evaluation of discrete logarithms in a group of 𝑝-torsion points of an elliptic curve in characteristic 𝑝
- Abelian varieties over finite fields
- A survey on the group of points arising from elliptic curves with a Weierstrass model over a ring
- Multiplication polynomials for elliptic curves over finite local rings
- Elliptic loops
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