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{{r|Elliptic curve}}

..., '''Delta''' is a [[modular form]], arising from the [[discriminant of an elliptic curve]]. As a modular form it is a [[cusp form]] of [[weight of a modular form|w

{{r|Elliptic curve}}

{{r|Elliptic curve}}

{{r|Elliptic curve}}

{{r|Discriminant of an elliptic curve}}

...riants, either over a field modulo a prime or over a field defined by an [[elliptic curve]]. We give an example modulo a prime below. ...However, when the field is modulo a large prime (or is based on a suitable elliptic curve), this is indeed problematic. No general solution method that is not catast

...d DSA are related to the [[discrete logarithm]] problem. More recently, [[elliptic curve cryptography]] has developed in which security is based on number theoretic ...ers include the Cramer-Shoup cryptosystem, ElGamal encryption, and various elliptic curve techniques.<ref name=>{{citation

...a [[charge]]d particle deflecting away from an oppositely charged one. [[Elliptic curve]]s, which can be described using cubic polynomial equations, have important

...6 bits for one heavily used group in [[IPsec]]) or a field defined by an [[elliptic curve]].

...from the [[discrete logarithm]] problem, and other systems from various [[elliptic curve]] problems. In all cases the underlying problem is thought to be hard, so t ...esistance, factoring-based encryption techniques must use larger keys than elliptic curve techniques. For this reason, public-key cryptosystems based on elliptic cu

...from the [[discrete logarithm]] problem, and other systems from various [[elliptic curve]] problems. In all cases the underlying problem is thought to be hard, so t ...esistance, factoring-based encryption techniques must use larger keys than elliptic curve techniques. For this reason, public-key cryptosystems based on elliptic cu

...e log are supported, in a field modulo a prime or in a field defined by an elliptic curve. This is partly a safety feature; if someone should solve one variant of th ...tional groups with primes up to 8192 bits and RFC 4753 provides additional elliptic curve groups.

| <!--[[Image:Elliptic curve simple.png|96px]]--> || <!--[[Image:Rubik float.png|96px]] -->|| <!--[[Imag

...tal Signatures and Public-Key Cryptosystems}}</ref>. Techniques based on [[elliptic curve]]s are also used. The security of each of these techniques depends on the d