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SIAMDM
2010
13 years 6 months ago
2010
Let g1, . . . , gk be tropical polynomials in n variables with Newton polytopes P1, . . . , Pk. We study combinatorial questions on the intersection of the tropical hypersurfaces d...
IACR
2011
12 years 7 months ago
2011
We derive an explicit method of computing the composition step in Cantor’s algorithm for group operations on Jacobians of hyperelliptic curves. Our technique is inspired by the g...
MOC
2000
13 years 7 months ago
2000
Abstract. There has been important progress in constructing units and Sunits associated to curves of genus 2 or 3. These approaches are based mainly on the consideration of propert...
ITNG
2007
IEEE
14 years 2 months ago
2007
IEEE
This contribution proposes a modification of method of divisors group operation in the Jacobian of hyperelliptic curve over even and odd characteristic fields in projective coordi...
ITCC
2005
IEEE
14 years 1 months ago
2005
IEEE
Recently, a lot of effort has been done to investigate all kinds of explicit formulae for speeding up group operation of hyperelliptic curve cryptosystem (HECC). In this paper, ex...