Presentation | 2005-05-18 XTR over Characteristic 3 Masaaki SHIRASE, Yasushi HIBINO, |
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Abstract(in Japanese) | (See Japanese page) |
Abstract(in English) | XTR represents elements in a cyclic subgroup as those in F_using the trace over F_, where h satisfies h^=1. If we apply XTR to an ElGamal cryptosystem, then the calculation amount for encryption/decryption are reduced and the size of public key and the message length become a third of them. XTR has both efficiency and compactness. This paper shows that XTR becomes more compact representation when we use fields of characteristic 3. Let q be 3^<2k-1>, then √<3q> is an integer and there exists h∈F_such that h^ |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | XTR / characteristic 3 / algebraic torus / ElGamal cryptosystem |
Paper # | ISEC2005-3 |
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Conference Information | |
Committee | ISEC |
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Conference Date | 2005/5/11(1days) |
Place (in Japanese) | (See Japanese page) |
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Paper Information | |
Registration To | Information Security (ISEC) |
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Language | JPN |
Title (in Japanese) | (See Japanese page) |
Sub Title (in Japanese) | (See Japanese page) |
Title (in English) | XTR over Characteristic 3 |
Sub Title (in English) | |
Keyword(1) | XTR |
Keyword(2) | characteristic 3 |
Keyword(3) | algebraic torus |
Keyword(4) | ElGamal cryptosystem |
1st Author's Name | Masaaki SHIRASE |
1st Author's Affiliation | Japan Advanced Institute of Science and Technology() |
2nd Author's Name | Yasushi HIBINO |
2nd Author's Affiliation | Japan Advanced Institute of Science and Technology |
Date | 2005-05-18 |
Paper # | ISEC2005-3 |
Volume (vol) | vol.105 |
Number (no) | 51 |
Page | pp.pp.- |
#Pages | 8 |
Date of Issue |