Presentation	2003/9/12 A Fast Implementation of F_> for XTR Shigeru SHINONAGA, Yoshihiro FUJII, yasuyuki NOGAMI, Yoshitaka MORIKAWA,
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Abstract(in English)	XTR (Efficient and Compact Subgroup Trace Representation) is a method to efficiently represent elements ina certain multiplicative subgroup of F_ as elements inF_ with using the trace function, where p is the characteristic. By applying the XTR onto a certain cryptosystem that uses some multiplicative group in a finite field, we can fast implement the calculations needed for its encryption and decryption processes, moreover the cryptosystem requires a shorter key length for security. And, the generalized XTR which is defined over F_> has been also proposed. To achieve a fast implementation of the definition field of the cryptosystem using the XTR technique, this paper proposes a method to fast implement an extension field using the successive extension technique.
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Keyword(in English)	XTR / Mersenne prime / extension field / successive extenson field
Paper #	ISEC2003-63
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Committee	ISEC
Conference Date	2003/9/12(1days)
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Paper Information
Registration To	Information Security (ISEC)
Language	JPN
Title (in Japanese)	(See Japanese page)
Sub Title (in Japanese)	(See Japanese page)
Title (in English)	A Fast Implementation of F_> for XTR
Sub Title (in English)
Keyword(1)	XTR
Keyword(2)	Mersenne prime
Keyword(3)	extension field
Keyword(4)	successive extenson field
1st Author's Name	Shigeru SHINONAGA
1st Author's Affiliation	Faculty of Engineering, Okayama University()
2nd Author's Name	Yoshihiro FUJII
2nd Author's Affiliation	Faculty of Engineering, Okayama University
3rd Author's Name	yasuyuki NOGAMI
3rd Author's Affiliation	Faculty of Engineering, Okayama University
4th Author's Name	Yoshitaka MORIKAWA
4th Author's Affiliation	Faculty of Engineering, Okayama University
Date	2003/9/12
Paper #	ISEC2003-63
Volume (vol)	vol.103
Number (no)	315
Page	pp.pp.-
#Pages	8
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