2017 Fiscal Year Research-status Report
格子最短ベクトル問題と準同型暗号の安全性に関する研究
| Project/Area Number |
16K17644
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| Research Institution | Kyushu University |
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Principal Investigator |
Duong Hoang・Dung 九州大学, マス・フォア・インダストリ研究所, 助教 (40770970)
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| Project Period (FY) |
2016-04-01 – 2019-03-31
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| Keywords | Lattice attack / NTRU / EFC |
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| Outline of Annual Research Achievements |
In lattice cryptography, we have obtained some improvements in matrix multiplications over Ring-LWE Homomorphic Encryption.
Some results on multiplying matrices with real entries are also obtained and will be submitted for publication in near future. In addition, we investigated the lattice subfield attack against overstretched NTRU and gave better parameters choice for the attack.
In multivariate cryptography, we revisited the Extension Field Cancellation Scheme and derive a better key generation for the scheme which is much better than the original one. This result will be published soon at ACISP 2018.
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| Current Status of Research Progress |
Current Status of Research Progress
2: Research has progressed on the whole more than it was originally planned.
Reason
All on schedule.
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| Strategy for Future Research Activity |
We plan to investigate algebraic problems of lattice assumptions.
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| Causes of Carryover |
FY2018 Kakenhi will be cancelled due to the new appointment outside Japan.
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Research Products
(6 results)
