561 search results - page 4 / 113 » Using number fields to compute logarithms in finite fields |
MOC
2000
13 years 7 months ago
2000
The first part of this paper classifies all purely cubic function fields over a finite field of characteristic not equal to 3. In the remainder, we describe a method for computing ...
MOC
2011
13 years 1 months ago
2011
Let K be an imaginary quadratic field with class number one and let p ⊂ OK be a degree one prime ideal of norm p not dividing 6dK . In this paper we generalize an algorithm of S...
MOC
2002
13 years 7 months ago
2002
Abstract. In this paper, we are interested in solving the so-called norm equation NL/K(x) = a, where L/K is a given arbitrary extension of number fields and a a given algebraic num...
MOC
2010
13 years 2 months ago
2010
We define the weight of an integer N to be the smallest w such that N can be represented as w i=1 i2ci , with 1,..., w{1,-1}. Since arithmetic modulo a prime of low weight is parti...
PKC
2010
Springer
13 years 9 months ago
2010
Springer
Abstract. Pairings on elliptic curves over finite fields are crucial for constructing various cryptographic schemes. The T pairing on supersingular curves over GF(3n ) is particula...