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elliptic group

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  • Elliptic curve cryptography — (ECC) is an approach to public key cryptography based on the algebraic structure of elliptic curves over finite fields. The use of elliptic curves in cryptography was suggested independently by Neal Koblitz[1] and Victor S. Miller[2] in 1985.… …   Wikipedia

  • Elliptic curve primality proving — (ECPP) is a method based on elliptic curves to prove the primality of a number. It is a general purpose algorithm, meaning it does not depend on the number being a special form. ECPP is currently in practice the fastest known algorithm for… …   Wikipedia

  • Elliptic cohomology — defines a cohomology theory in the sense of algebraic topology. This term may refer to several different, though closely related, constructions, such as topological modular forms (i.e., tmf) or more classically a periodic ring spectrum equipped… …   Wikipedia

  • Group theory — is a mathematical discipline, the part of abstract algebra that studies the algebraic structures known as groups. The development of group theory sprang from three main sources: number theory, theory of algebraic equations, and geometry. The… …   Wikipedia

  • Elliptic curve — In mathematics, an elliptic curve is a smooth, projective algebraic curve of genus one, on which there is a specified point O . An elliptic curve is in fact an abelian variety mdash; that is, it has a multiplication defined algebraically with… …   Wikipedia

  • Elliptic function — In complex analysis, an elliptic function is a function defined on the complex plane that is periodic in two directions (a doubly periodic function) and at the same time is meromorphic. Historically, elliptic functions were discovered as inverse… …   Wikipedia

  • Elliptic surface — In mathematics, an elliptic surface is a surface that has an elliptic fibration, in other words a proper connected smooth morphism to an algebraic curve, almost all of whose fibers are elliptic curves. The fibers that are not elliptic curves are… …   Wikipedia

  • Elliptic Curve Cryptography — Elliptische Kurve über Unter Elliptic Curve Cryptography (ECC) oder deutsch Elliptische Kurven Kryptographie versteht man asymmetrische Kryptosysteme, die Operationen auf elliptischen Kurven über endlichen Körpern v …   Deutsch Wikipedia

  • Elliptic Curve DSA — Der Elliptic Curve Digital Signature Algorithmus (ECDSA) (deutsch: digitaler Signatur Algorithmus mit elliptischen Kurven) ist eine Variante des Digital Signature Algorithm (DSA), der Elliptische Kurven Kryptographie verwendet. Inhaltsverzeichnis …   Deutsch Wikipedia

  • Group scheme — In mathematics, a group scheme is a group object in the category of schemes. That is, it is a scheme G with the equivalent properties* there is a group law expressible as a multiplication μ and inversion map ι on G ; or * G is a functor (as in… …   Wikipedia

  • Lorentz group — Group theory Group theory …   Wikipedia

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