Presentation 2002/12/9
Efficient exponentiation on Genus Two Hyperelliptic Curves
Naoyuki TAKAHASHI, Atsuko MIYAJI,
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Abstract(in English) To improve the scalar multiplication is important for realizing efficient hyperelliptic curve cryptosystem. Scalar multiplication algorithm is comprised of algorithms of addition and addition chain. Recently, Harley proposed a faster algorithm of addition on genus two hyperelliptic curve. One of improved Harley algorithm is addition algorithm without inversions. In this reseach, we proposed improvement of addition algorithm without inversions and addition chain algorithm. This improvement has effect on environments optimized for multiplications.
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Keyword(in English) Hyperelliptic curve cryptosystems / Genus two hyperelliptic curve / Harley algorithm
Paper # ISEC2002-102
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Committee ISEC
Conference Date 2002/12/9(1days)
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Registration To Information Security (ISEC)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Efficient exponentiation on Genus Two Hyperelliptic Curves
Sub Title (in English)
Keyword(1) Hyperelliptic curve cryptosystems
Keyword(2) Genus two hyperelliptic curve
Keyword(3) Harley algorithm
1st Author's Name Naoyuki TAKAHASHI
1st Author's Affiliation School of Information Science, Japan Advanced Institute of Science and Technology(JAIST)()
2nd Author's Name Atsuko MIYAJI
2nd Author's Affiliation School of Information Science, Japan Advanced Institute of Science and Technology(JAIST)
Date 2002/12/9
Paper # ISEC2002-102
Volume (vol) vol.102
Number (no) 511
Page pp.pp.-
#Pages 6
Date of Issue