48 citations · 48 across the 3 of their papers we have counts for
3 papers
Finding ECM-friendly curves through a study of Galois properties
Razvan Barbulescu, Joppe W. Bos, Cyril Bouvier +2
In this paper we prove some divisibility properties of the cardinality of elliptic curves modulo primes. These proofs explain the good behavior of certain parameters when using Mon…
Improved Weil and Tate pairings for elliptic and hyperelliptic curves
Kirsten Eisentraeger, Kristin Lauter, Peter L. Montgomery
We present algorithms for computing the squared Weil and Tate pairings on elliptic curves and the squared Tate pairing for hyperelliptic curves. The squared pairings introduced in…
Fast Elliptic Curve Arithmetic and Improved Weil Pairing Evaluation
Kirsten Eisentraeger, Kristin Lauter, Peter L. Montgomery
We present an algorithm which speeds scalar multiplication on a general elliptic curve by an estimated 3.8 % to 8.5 % over the best known general methods when using affine coordina…