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Schoof's algorithm

Known as: Schoof, Schoof algorithm 
Schoof's algorithm is an efficient algorithm to count points on elliptic curves over finite fields. The algorithm has applications in elliptic curve… 
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Related topics

Related topics

8 relations
Baby-step giant-stepC++Division polynomialsElliptic curve primality

Broader (1)

Elliptic curve cryptography

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
Linear determinantal representations of smooth plane cubics over finite fields
In this note, we study linear determinantal representations of smooth plane cubics over finite fields. We give an explicit… 
2013
2013
The motion of ice stream margins
Abstract The recent article by Schoof (J. Fluid Mech., vol. 712, 2012, pp. 552–578) provides a technically demanding solution to… 
2011
2011
Op en rond de Sallandse Heuvelrug
Ongeveer halverwege Overijssel loopt van noord naar zuid een hoge zandrug. Het zuidelijk deel, tussen Hellendoorn en Holten… 
2010
2010
Elliptic Gauss sums and applications to point counting
2009
2009
Reliability of Schoof algorithm and its computational complexity
This paper deals with the elliptic curve encryption algorithm. Its safety is analyzed using the Schoof method. The algorithm work… 
2008
2008
Cryptography on elliptic curves over p-adic number fields
In this paper we introduce a cryptosystem based on the quotient groups of the group of rational points of an elliptic curve… 
2007
2007
The order elliptic curves over finite fields of characteristic two using the Schoof algorithm
The elliptic curve cryptosystem is a popular cryptosystem. Its safety depends on the difficulty of the elliptic curve discrete… 
2006
2006
René Schoof's Algorithm for Determining the Order of the Group of Points on an Elliptic Curve over a Finite Field
Elliptic curves have a rich mathematical history dating back to Diophantus (c. 250 C.E.), who used a form of these cubic… 
1996
1996
Isogeny Cycles and the Schoof-elkies-atkin Algorithm Isogeny Cycles and the Schoof-elkies-atkin Algorithm
The heart of Schoof's algorithm for computing the cardinality m of an elliptic curve over a nite eld is the computation of m… 
1995
1995
The Use of Narrative, Dialogue and Critical Reflection in the Development of Women as School Leaders
ions."" OftefiOOth aclm inistrators and teachers ope rate 00 a set 01 theories"",,-u"e wh"h do nOl match the espoused theo ries… 
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