| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Outline of Final Research Achievements |
In this research, we consider that analysis of algebraic algorithms from computational complexity and its applications to public-key cryptography, especially pairing based cryptography. We mainly gave the following results: A proposal of improving a pairing computation algorithm based on elliptic nets and hyperelliptic nets. A proposal of some computational hard problem based on elliptic divisibility sequences, which is equivalent to DH problem. A proposal of some improvement of scalar multiplication on Edward curves.
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