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» On multiplication in finite fields
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ISSAC
2001
Springer
133views Mathematics» more  ISSAC 2001»
13 years 12 months ago
Irreducible trinomials over finite fields
A necessary condition for irreducibility of a trinomial over a finite field, based on classical results of Stickelberger and Swan, is established. It is applied in the special ca...
Joachim von zur Gathen
ASIACRYPT
2000
Springer
13 years 12 months ago
Weil Descent of Elliptic Curves over Finite Fields of Characteristic Three
The paper shows that some of elliptic curves over finite fields of characteristic three of composite degree are attacked by a more effective algorithm than Pollard’s ρ method...
Seigo Arita
CHES
1999
Springer
75views Cryptology» more  CHES 1999»
13 years 11 months ago
Efficient Finite Field Basis Conversion Involving Dual Bases
Burton S. Kaliski Jr., Moses Liskov
FOCS
1998
IEEE
13 years 11 months ago
Unsatisfiable Systems of Equations, Over a Finite Field
The properties of any system of k simultaneous equations in n variables over GF(q), are studied, with a particular emphasis on unsatisfiable systems. A general formula for the num...
Alan R. Woods
GLVLSI
1998
IEEE
134views VLSI» more  GLVLSI 1998»
13 years 11 months ago
Low-Power Design of Finite Field Multipliers for Wireless Applications
Amr G. Wassal, M. Anwarul Hasan, Mohamed I. Elmasr...