| Paper Abstract and Keywords |
| Presentation |
2006-07-20 09:55
Square Root Calculation Algorithm over Type-II All One Polynomial Field
Hidehiro Kato (Okayama Univ.), Wang Feng, Yasuyuki Nogami, Yoshitaka Morikawa (Okayama Univ.) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
The authors proposes a square root (SQRT) algorithm in Fpm (m = r0r1 ・ ・ ・ rn.12d, ri : odd prime,
d > 0 : integer). We compute the inverse SQRT in Fp2d using MW-ST algorithm. Then the Frobenius mappings
with an addition chain are adopted for this SQRT algorithm, in which a lot of computations in a given extension field
Fpm are also reduce to those in a proper subfield by the norm computations. Those reductions of the field degree
increases efficiency in the SQRT implementation. More specifically the Smart algorithm and proposed algorithm
in Fp6 , for example, were implemented on a Pentium4 (3.8FHz) computer using the C++ programming language
and NTL Library. The computer simulations showed that, on average, the proposed algoithm accelerates the SQRT
computation by 3 times in Fp6 , compared to the Smart algorithm. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
Elliptic curve / Square root calculation / / / / / / |
| Reference Info. |
IEICE Tech. Rep., vol. 106, no. 175, ISEC2006-10, pp. 7-12, July 2006. |
| Paper # |
ISEC2006-10 |
| Date of Issue |
2006-07-13 (ISEC, SITE) |
| ISSN |
Print edition: ISSN 0913-5685 |
| Download PDF |
|
| 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) |
Square Root Calculation Algorithm over Type-II All One Polynomial Field |
| Sub Title (in English) |
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| Keyword(1) |
Elliptic curve |
| Keyword(2) |
Square root calculation |
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| 1st Author's Name |
Hidehiro Kato |
| 1st Author's Affiliation |
Okayama University (Okayama Univ.) |
| 2nd Author's Name |
Wang Feng |
| 2nd Author's Affiliation |
* (*) |
| 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 09:55:00 |
| Presentation Time |
25 minutes |
| Registration for |
ISEC |
| Paper # |
ISEC2006-10, SITE2006-7 |
| Volume (vol) |
vol.106 |
| Number (no) |
no.175(ISEC), no.174(SITE) |
| Page |
pp.7-12 |
| #Pages |
6 |
| Date of Issue |
2006-07-13 (ISEC, SITE) |