نتایج جستجو برای: elliptic curves

تعداد نتایج: 120705  

Journal: :Journal of the Mathematical Society of Japan 2002

2006
Xian-Jin Li XIAN-JIN LI

In this note we study an analogy between a positive definite quadratic form for elliptic curves over finite fields and a positive definite quadratic form for elliptic curves over the rational number field. A question is posed of which an affirmative answer would imply the analogue of the Riemann hypothesis for elliptic curves over the rational number field.

2013
Aurore Guillevic

Since 2000 pairings became a very useful tool to design new protocols in cryptography. Short signaturesand identity-based encryption became also practical thanks to these pairings.This thesis contains two parts. One part is about optimized pairing implementation on different ellip-tic curves according to the targeted protocol. Pairings are implemented on supersingular elliptic curve...

Journal: :Bulletin of the American Mathematical Society 1994

Journal: :Information Processing Letters 2005

Journal: :International Mathematics Research Notices 2018

Journal: :Bulletin of the American Mathematical Society 2002

Journal: :LMS Journal of Computation and Mathematics 2012

Journal: :Journal of Number Theory 1993

Journal: :Bulletin of the American Mathematical Society 1967

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