10 search results - page 1 / 2 » Fast arithmetics in artin-schreier towers over finite fields |
ISSAC
2009
Springer
13 years 10 months ago
2009
Springer
An Artin-Schreier tower over the finite field Fp is a tower of field extensions generated by polynomials of the form Xp − X − α. Following Cantor and Couveignes, we give a...
MOC
2000
13 years 4 months ago
2000
We give a method for efficiently computing isomorphisms between towers of Artin-Schreier extensions over a finite field. We find that isomorphisms between towers of degree pn over ...
WAIFI
2010
Springer
13 years 9 months ago
2010
Springer
A cryptographic pairing evaluates as an element of a finite extension field, and the evaluation itself involves a considerable amount of extension field arithmetic. It is recogn...
ASIACRYPT
1999
Springer
13 years 8 months ago
1999
Springer
In the underlying finite field arithmetic of an elliptic curve cryptosystem, field multiplication is the next computational costly operation other than field inversion. We pres...
PKC
2010
Springer
13 years 6 months ago
2010
Springer
This paper considers a generalized form for Hessian curves. The family of generalized Hessian curves covers more isomorphism classes of elliptic curves. Over a finite filed Fq, it ...