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Fast explicit formulae for genus 2 hyperelliptic curves using projective coordinates （Updated）
hyperelliptic curves explicit formulae
2009/6/2
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...
Efficient Arithmetic on Genus 2 Hyperelliptic Curves over Finite Fields via Explicit Formulae
Efficient Arithmetic Genus 2 Hyperelliptic Curves Explicit Formulae
2009/4/15
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...
Low Cost Security: Explicit Formulae for Genus 4 Hyperelliptic Curves
Low Cost Security Explicit Formulae Genus 4 Hyperelliptic Curves
2009/4/9
Low Cost Security: Explicit Formulae for Genus 4 Hyperelliptic Curves.
Some Explicit Formulae of NAF and its Left-to-Right Analogue
signed binary representation non-adjacent form Hamming weight
2009/3/12
Non-Adjacent Form (NAF) is a canonical form of signed bi-
nary representation of integers. We present some explicit formulae of
NAF and its left-to-right analogue (FAN) for randomly chosen n-bit in-...