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We construct paring friendly curves of the form Y2 = X5+uX3+vX over large finite prime fields. The ρ-value of our family is always less than 4. Our method is based on the fact that, under a certain ...
In hyperelliptic curve cryptography, finding a suitable hyperelliptic curve is an important fundamental problem. One of necessary conditions is that the order of its Jacobian is a product of a large...
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 coordinate. The hyperellipt...
We extend the explicit formulae for arithmetic on genus two curves of [13, 21] to fields of even characteristic and to arbitrary equation of the curve. These formulae can be evaluated faster than the...
Hyperelliptic curve cryptosystem (HECC) is becoming more and more promising for network security applications because of the common effort of several academic and industrial organizations. With shor...
For the Tate pairing computation over hyperelliptic curves, there are developments by Duursma- Lee and Barreto et al., and those computations are focused on degenerate divisors.
We describe the use of explicit isogenies to reduce Discrete Logarithm Problems (DLPs) on Jacobians of hyperelliptic genus 3 curves to Jacobians of non-hyperelliptic genus 3 curves, which are vulner...

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