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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/8350| Title: | "LWR, MPLWE 和 MPLWR 上的全同態加密" Fully Homomorphic Encryption on LWR, MPLWE and MPLWR |
| Authors: | Yi-Lin Hung 洪逸霖 |
| Advisor: | 陳君明(Jiun-Ming Chen) |
| Keyword: | LWR同態加密,環LWR同態加密,中間積LWE同態加密,中間積LWR同態加密, Learning with rounding FHE,Ring learning with rounding FHE,Middle product learning with error FHE,Middle product learning with rounding FHE, |
| Publication Year : | 2020 |
| Degree: | 碩士 |
| Abstract: | 我們改良了Zvika Brakerski 研發的全同態加密系統，改成使用難題假設LWR以及RLWR而不是原先使用的LWE以及RLWE難題假設。並且我們用類似的方法使得可以在MPLWR難題假設上使用同態加密。在過去，Rosca證明了難題假設MPLWE的安全性，我們同樣使用相似於的方法做成全同態加密。 We modified the fully homomorphic encryption (FHE) scheme produced by Zvika Brakerski with the hardness assumption learning with rounding (LWR) and ring learning with rounded (RLWR) instead of the hardness assumption learning with error (LWE) and ring learning with rounding (RLWE). And we use the similar methods on the hardness assumption middle product learning with rounding (MPLWR), i.e. making it into FHE. In present, Rosca proves the hardness assumption middle product learning with error (MPLWE). We also use 'similar' Brakerski ideas to make it into FHE. |
| URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/8350 |
| DOI: | 10.6342/NTU202002146 |
| Fulltext Rights: | 同意授權(全球公開) |
| Appears in Collections: | 數學系 |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| U0001-3107202009490700.pdf | 333.46 kB | Adobe PDF | View/Open |
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