Presentation 2002/3/12
On the Brier-Joye's Addition Formula
Tetsuya IZU, Tsuyoshi TAKAGI,
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Abstract(in English) Elliptic curve based cryptosystems (ECC) are thought to be suitable for implementing on low-power devices such as smart cards because of the small key-length. The side channel attacks against these devices may be successful if the implementation is naive or careless. Recently, Brier and Joye proposed the indistinguishable addition formula for Weierstrass-form elliptic curves [BJ02] in order to resist the side channel attacks. This paper studies the property of the formula and proposes a chosen ciphertext attack to the ElGamal cryptosystem with their addition formula.
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Keyword(in English) elliptic curve based cryptosystem (ECC) / scalar multiplication / side channel attack / indistinguishable addition formula
Paper # ITS2001-155
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Committee ITS
Conference Date 2002/3/12(1days)
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Registration To Intelligent Transport Systems Technology (ITS)
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) On the Brier-Joye's Addition Formula
Sub Title (in English)
Keyword(1) elliptic curve based cryptosystem (ECC)
Keyword(2) scalar multiplication
Keyword(3) side channel attack
Keyword(4) indistinguishable addition formula
1st Author's Name Tetsuya IZU
1st Author's Affiliation FUJITSU LABORATORIES Ltd.()
2nd Author's Name Tsuyoshi TAKAGI
2nd Author's Affiliation Technische Universitat Darmstadt, Fachbereich Informatik
Date 2002/3/12
Paper # ITS2001-155
Volume (vol) vol.101
Number (no) 732
Page pp.pp.-
#Pages 6
Date of Issue