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- W2364603482 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., ElGamal-type encryption, the sender of Diffie-Hellman and HECDSA. Compared with scalar multiplications using standard divisors, the proposed scheme using degenerate divisors of degree 1 or 2 can attain a speed-up of approximately 33.4% and 16.7%, respectively. At the same time, the representation of the base point can be compressed to one third or two thirds of standard divisors." @default.
- W2364603482 created "2016-06-24" @default.
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- W2364603482 date "2006-01-01" @default.
- W2364603482 modified "2023-09-25" @default.
- W2364603482 title "Fast Arithmetic of Genus 3 Hyperelliptic Curves over Prime Fields" @default.
- W2364603482 hasPublicationYear "2006" @default.
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