Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/page/info/about/policies/terms.jsp. JSTOR's Terms and Conditions ofâ€¦ (More)

In this paper we propose three refinements to Millerâ€™s algorithm for computing Weil/Tate Pairing. The first one is an overall improvement and achieves its optimal behavior if the binary expansion ofâ€¦ (More)

In the seminal papers [6, 7], Koblitz curves were proposed for cryptographic use. For fast operations on these curves, these papers also initiated a study of the radix-Ï„ expansion of integers in theâ€¦ (More)

Let K be an algebraic number field and f a complex-valued function on the ideal class group of K . Then, f extends in a natural way to the set of all non-zero ideals of the ring of integers of K andâ€¦ (More)

A simple question about polynomials Question: Given an irreducible polynomial f (T) âˆˆ Z[T ], and a prime p, does it necessarily remain irreducible modulo p? Answer: Obviously not. For example, T 2 +â€¦ (More)