| Paper Abstract and Keywords |
| Presentation |
2006-07-20 10:20
Pairing Computation with MNT Curve over All One Polynomial Field
Masataka Akane, Takumi Okimoto, Yasuyuki Nogami, Yoshitaka Morikawa (Okayama Univ.) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
In recent years, many cryptographic applications with bilinear-pairing over elliptic curves have been proposed. The well-known MNT curves, that are non-supersingular elliptic curves, provide bilinear-pairings overextension fields of degree 3, 4, and 6. When the embedding degree is equal to 3, MNT curves cannot be defined overoptimal extension field (OEF). Even when the embedding degree is equal to 4 or 6, MNT curves cannot be always defined over OEF. For some of such cases, it can be defined over all one polynomial field (AOPF). Since Frobenius mapping can be fast carried out in the AOPFs, this paper gives considered some improvements for Tate pairing calculation. Then, some examples and simulation results are shown. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
Elliptic Curve Cryptography, / pairing / MNT curve / / / / / |
| Reference Info. |
IEICE Tech. Rep., vol. 106, no. 175, ISEC2006-11, pp. 13-18, July 2006. |
| Paper # |
ISEC2006-11 |
| Date of Issue |
2006-07-13 (ISEC, SITE) |
| ISSN |
Print edition: ISSN 0913-5685 |
| Download PDF |
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| Conference Information |
| Committee |
ISEC SITE IPSJ-CSEC |
| Conference Date |
2006-07-20 - 2006-07-21 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Okayama Univ. |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
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| Paper Information |
| Registration To |
ISEC |
| Conference Code |
2006-07-ISEC-SITE-IPSJ-CSEC |
| Language |
Japanese |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Pairing Computation with MNT Curve over All One Polynomial Field |
| Sub Title (in English) |
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| Keyword(1) |
Elliptic Curve Cryptography, |
| Keyword(2) |
pairing |
| Keyword(3) |
MNT curve |
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| 1st Author's Name |
Masataka Akane |
| 1st Author's Affiliation |
Okayama University (Okayama Univ.) |
| 2nd Author's Name |
Takumi Okimoto |
| 2nd Author's Affiliation |
Okayama University (Okayama Univ.) |
| 3rd Author's Name |
Yasuyuki Nogami |
| 3rd Author's Affiliation |
Okayama University (Okayama Univ.) |
| 4th Author's Name |
Yoshitaka Morikawa |
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Okayama University (Okayama Univ.) |
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| Speaker |
Author-1 |
| Date Time |
2006-07-20 10:20:00 |
| Presentation Time |
25 minutes |
| Registration for |
ISEC |
| Paper # |
ISEC2006-11, SITE2006-8 |
| Volume (vol) |
vol.106 |
| Number (no) |
no.175(ISEC), no.174(SITE) |
| Page |
pp.13-18 |
| #Pages |
6 |
| Date of Issue |
2006-07-13 (ISEC, SITE) |