Elliptic curve - Open Access .click

IACR Cryptology ePrint Archive, 2020
We present improved quantum circuits for elliptic curve scalar multiplication, the most costly component in Shor's algorithm to compute discrete logarithms in elliptic curve groups.
Thomas Häner +4 more
semanticscholar +1 more source

Elliptic Curve Cryptography Point Multiplication Core for Hardware Security Module

IEEE transactions on computers, 2020
In today's technology, a sheer number of Internet of Things applications use hardware security modules for secure communications. The widely used algorithms in security modules, for example, digital signatures and key agreement, are based upon elliptic ...
Mohamad Ali Mehrabi, C. Doche, A. Jolfaei +2 more
semanticscholar +1 more source

Elliptic Curves

2003
The purpose of the present text is to give an elementary introduction to the arithmetic of elliptic curves over number fields from a computational point of view. This branch of number theory is particularly accessible to computer assisted calculations, and the authors make use of this feature by approaching the theory from a computational point of view.
Schmitt, S., Zimmer, H.
+5 more sources

mathematical analysis
pure mathematics
elliptic curve cryptography

cryptography
encryption
public-key cryptography

geometry
combinatorics
computer security