Elliptic Curves Cryptography

Elliptic Curves Cryptography
Abbreviation: ECC

Универсальный русско-английский словарь. . 2011.

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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 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

  • Counting points on elliptic curves — An important aspect in the study of elliptic curves is devising effective ways of counting points on the curve. There have been several approaches to do so, and the algorithms devised have proved to be useful tools in the study of various fields… …   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

  • Cryptography — Secret code redirects here. For the Aya Kamiki album, see Secret Code. Symmetric key cryptography, where the same key is used both for encryption and decryption …   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

  • Trace Zero Cryptography — In the year 1998 Gerhard Frey firstly purposed using trace zero varieties for cryptographic purpose. These varieties are subgroups of the divisor class group on a low genus hyperelliptic curve defined over a finite field. These groups can be used …   Wikipedia

  • Hyperelliptic curve cryptography — is similar to elliptic curve cryptography (ECC) insomuch as the algebraic geometry construct of a hyperelliptic curve with an appropriate group law provides an Abelian group on which to do arithmetic. The use of hyperelliptic curves in… …   Wikipedia

  • Moduli of algebraic curves — In algebraic geometry, a moduli space of (algebraic) curves is a geometric space (typically a scheme or an algebraic stack) whose points represent isomorphism classes of algebraic curves. It is thus a special case of a moduli space. Depending on… …   Wikipedia

  • Books on cryptography — have been published sporadically and with highly variable quality for a long time. This is despite the tempting, though superficial, paradox that secrecy is of the essence in sending confidential messages mdash; see Kerckhoffs principle. In… …   Wikipedia

  • Public-key cryptography — In an asymmetric key encryption scheme, anyone can encrypt messages using the public key, but only the holder of the paired private key can decrypt. Security depends on the secrecy of that private key …   Wikipedia


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