Presentation 2003/3/20
Notes on ID based Cryptosystems with Pairing over Elliptic Curve
Ryuichi SAKAI, Masao KASAHARA,
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Abstract(in English) The pairings over elliptic curves are applied for realizing the secure ID based cryptosystems that can be invulnerable to the collusion attacks. The computation of the pairing are are necessary for the cryptosystems, though the computation of the pairing requires high cost compared with the computation cost for the power operation over the finite fields or over the elliptic curve when the parameters are securely to be provided. In this paper we propose an efficient method for a class of ID based cryptosystems which have been proposed by the present authors. The proposed method is able to reduce the number of the computations for the pairing for verifying the ID based signature and also for decoding the ID based authenticated public key cryptosystems, bye a factor of 2. Moreover we propose the ID based public key cryptosystems with signature and the ID based public key cryptosystems having the multiple centers.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) elliptic curve / Weil pairing / Tate pairing / public key cryptography / signature
Paper # IT2002-88,ISEC2002-146,SST2002-194,ITS2002-171
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Committee ISEC
Conference Date 2003/3/20(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Notes on ID based Cryptosystems with Pairing over Elliptic Curve
Sub Title (in English)
Keyword(1) elliptic curve
Keyword(2) Weil pairing
Keyword(3) Tate pairing
Keyword(4) public key cryptography
Keyword(5) signature
1st Author's Name Ryuichi SAKAI
1st Author's Affiliation Faculty of Engineering, Osaka Electro-Communication Univerisity()
2nd Author's Name Masao KASAHARA
2nd Author's Affiliation Faculty of Informatics, Osaka Gakuin University
Date 2003/3/20
Paper # IT2002-88,ISEC2002-146,SST2002-194,ITS2002-171
Volume (vol) vol.102
Number (no) 744
Page pp.pp.-
#Pages 4
Date of Issue