Computer Science ›› 2006, Vol. 33 ›› Issue (10): 84-89.
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HAO Yan-Hua,TAN Shi-Chong,WANG Yu-Min (National Key Laboratory on ISN, Xidian University, Xi'an 710071)
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Abstract: Explicit formulae for addition and doubling on genus 3 hyperelliptic curve over prime fields using degenerate divisors are presented, which can be applied to scalar multiplications of hyperelliptic curve cryptosystems with a fixed base point, e. g. , ElGa
Key words: Genus 3 hyperelliptic curves, Explicit formula, Scalar multiplication,Degenerate divisor
HAO Yan-Hua,TAN Shi-Chong,WANG Yu-Min (National Key Laboratory on ISN, Xidian University, Xi'an 710071). [J].Computer Science, 2006, 33(10): 84-89.
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