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About On Lattices, Learning With Errors, Random Linear Codes, and Cryptography
1) The document presents a main theorem showing that an efficient solution to the Learning With Errors (LWE) problem implies an efficient quantum algorithm for approximating the Shortest Vector Problem (SVP) and Shortest Independent Vectors Problem (SIVP) on lattices. 2) It also describes a new public-key cryptosystem whose security is based on the hardness of solving LWE. This cryptosystem is more efficient than previous lattice-based cryptosystems. 3) The LWE problem is a generalization of the learning parity with noise problem to higher moduli. It remains an open problem to reduce the main theorem to classical (non-quantum) algorithms.
Detailed Information
| Author: | ['roccoccor'] |
|---|---|
| Publication Year: | 2017 |
| Pages: | 37 |
| Language: | English |
| Format: | |
| Price: | FREE |
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