This chapter excerpted from Hardware Implementation of Finite-Field Arithmetic, gives an example of finite-field application namely, the implementation of the scalar product (point multiplication) ...

By extending the scope of a key insight behind Fermat’s Last Theorem, four mathematicians have made great strides toward ...

The elliptic curve discrete logarithm problem (ECDLP) lies at the heart of modern public-key cryptography. It concerns the challenge of determining an unknown scalar multiplier given two points on ...

A Note on Elliptic Curves Over Finite Fields, Mathematics of Computation, Vol. 49, No. 179 (Jul., 1987), pp. 301-304 ...

This paper is devoted to the description and analysis of a new algorithm to factor positive integers. It depends on the use of elliptic curves. The new method is obtained from Pollard's (p-1)-method ...

PsiQuantum’s latest paper describes a more efficient method to break Elliptic Curve Cryptography (ECC) which is widely used for secure communications. This approach uses techniques especially ...

Ottawa, Canada, May 9, 2007 - Security IP provider Elliptic today announced that it has completed the 2.0 release of its Ellipsys security software. This release upgrades the algorithms implemented to ...

Unless, of course, Bitcoin’s elliptic curve is compromised. Many crypto experts have noticed that Bitcoin’s choice of secp256k1 elliptic curve was unusual for its time, as it was not yet well ...