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Supersymmetric elliptic curves
Functional Analysis and Its Applications, 1987The note in question follows the line of Yu. Manin's book on supergeometry [\textit{Yu. I. Manin}, ``Gauge fields and complex geometry'' (Moskva 1984; Zbl 0576.53002)]. The supersymmetric (SUSY) structure is considered to be a reasonable supergeometric analog of the complex structure. A curve is a supermanifold of the dimension (1\(| 1)\).
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Elliptic Curve Cryptography Engineering
Proceedings of the IEEE, 2006In recent years, elliptic curve cryptography (ECC) has gained widespread exposure and acceptance, and has already been included in many security standards. Engineering of ECC is a complex, interdisciplinary research field encompassing such fields as mathematics, computer science, and electrical engineering.
CILARDO, Alessandro +3 more
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On the density of elliptic curves
Compositio Mathematica, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2002
Describes in two pages the history of ECM, how it works at high level, improvements to the method, and some applications.
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Describes in two pages the history of ECM, how it works at high level, improvements to the method, and some applications.
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Use of Elliptic Curves in Cryptography
Annual International Cryptology Conference, 1985V. Miller
semanticscholar +1 more source
The arithmetic of elliptic curves
Graduate texts in mathematics, 1986J. Silverman
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Modular Elliptic Curves and Fermat′s Last Theorem(抜粋) (フェルマ-予想がついに解けた!?)
, 1995A. Wiles
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Advanced Topics in the Arithmetic of Elliptic Curves
, 1994J. Silverman
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