PAIRING COMPUTATION AND SCALAR MULTIPLICATION OF EMBEDDING DEGREE 1 AND COMPOSITE ORDER RATIONAL POINT ON ELLIPTIC CURVE - NATIONAL UNIVERSITY CORPORATION OKAYAMA UNIVERSITY

Title:

PAIRING COMPUTATION AND SCALAR MULTIPLICATION OF EMBEDDING DEGREE 1 AND COMPOSITE ORDER RATIONAL POINT ON ELLIPTIC CURVE

Document Type and Number:

WIPO Patent Application WO/2012/015047

Kind Code:

A1

Abstract:

Pairing computation and scalar multiplication are efficiently performed on rational points that are embedding degree 1 and composite order and that are on an elliptic curve by means of using a subgroup defined by an endomorphism map.

Inventors:

NOGAMI Yasuyuki (NATIONAL UNIVERSITY CORPORATION OKAYAMA UNIVERSITY 1-1, Tsushima-Naka 3-chome, Kita-ku, Okayama-sh, Okayama 30, 〒7008530, JP)
野上保之 (〒30 岡山県岡山市北区津島中三丁目１番１号　国立大学法人岡山大学大学院自然科学研究科内 Okayama, 〒7008530, JP)
MORIKAWA Yoshitaka (NATIONAL UNIVERSITY CORPORATION OKAYAMA UNIVERSITY 1-1, Tsushima-Naka 3-chome, Kita-ku, Okayama-sh, Okayama 30, 〒7008530, JP)

Application Number:

JP2011/067520

Publication Date:

February 02, 2012

Filing Date:

July 29, 2011

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Assignee:

NATIONAL UNIVERSITY CORPORATION OKAYAMA UNIVERSITY (1-1 Tsushima-Naka 1-chome, Kita-ku Okayama-sh, Okayama 30, 〒7008530, JP)
国立大学法人岡山大学 (〒30 岡山県岡山市北区津島中一丁目１番１号 Okayama, 〒7008530, JP)
NOGAMI Yasuyuki (NATIONAL UNIVERSITY CORPORATION OKAYAMA UNIVERSITY 1-1, Tsushima-Naka 3-chome, Kita-ku, Okayama-sh, Okayama 30, 〒7008530, JP)
野上保之 (〒30 岡山県岡山市北区津島中三丁目１番１号　国立大学法人岡山大学大学院自然科学研究科内 Okayama, 〒7008530, JP)

International Classes:

G06F17/10; H04L9/30

Attorney, Agent or Firm:

MATSUO Kenichiro (7th Floor, Shinkumi Akasaka Bldg. 10-17, Akasaka 1-chome, Chuo-ku, Fukuoka-sh, Fukuoka 42, 〒8100042, JP)

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