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» Irreducible trinomials over finite fields
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MOC
2000
78views more  MOC 2000»
14 years 9 months ago
Tables of curves with many points
These tables record results on curves with many points over finite fields. For relatively small genus (0 g 50) and q a small power of 2 or 3 we give in two tables the best presen...
Gerard van der Geer, Marcel van der Vlugt
WAIFI
2010
Springer
194views Mathematics» more  WAIFI 2010»
15 years 2 months ago
Constructing Tower Extensions of Finite Fields for Implementation of Pairing-Based Cryptography
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...
Naomi Benger, Michael Scott
84
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ASIACRYPT
2006
Springer
15 years 1 months ago
The 2-Adic CM Method for Genus 2 Curves with Application to Cryptography
Abstract. The complex multiplication (CM) method for genus 2 is currently the most efficient way of generating genus 2 hyperelliptic curves defined over large prime fields and suit...
Pierrick Gaudry, T. Houtmann, D. Kohel, Christophe...