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» Hyperelliptic curves with reduced automorphism group A5
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AAECC
2007
Springer
88views Algorithms» more  AAECC 2007»
14 years 9 months ago
Hyperelliptic curves with reduced automorphism group A5
We study genus g hyperelliptic curves with reduced automorphism group A5 and give equations y2 = f(x) for such curves in both cases where f(x) is a decomposable polynomial in x2 or...
David Sevilla, Tanush Shaska
CHES
2004
Springer
148views Cryptology» more  CHES 2004»
15 years 2 months ago
Aspects of Hyperelliptic Curves over Large Prime Fields in Software Implementations
We present an implementation of elliptic curves and of hyperelliptic curves of genus 2 and 3 over prime fields. To achieve a fair comparison between the different types of groups,...
Roberto Maria Avanzi
ANTS
2010
Springer
252views Algorithms» more  ANTS 2010»
15 years 1 months ago
On a Problem of Hajdu and Tengely
Abstract. We answer a question asked by Hajdu and Tengely: The only arithmetic progression in coprime integers of the form (a2 , b2 , c2 , d5 ) is (1, 1, 1, 1). For the proof, we ...
Samir Siksek, Michael Stoll