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The Problem
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Classroom Contents
Recovering Short Generators of Principal Ideals in Cyclotomic Rings
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- 1 Intro
- 2 Principal ideals in cryptography
- 3 Short generator recovery
- 4 Cost of those two steps
- 5 The Problem
- 6 The Unit Group and the log-unit lattice
- 7 Example: Logarithmic Embedding Log Z[V2]
- 8 Reduction modulo 1 - Log Z[V2]
- 9 Round-Off Decoding
- 10 Recovering Short Generator: Proof Plan Folklore strategy Bernstein 2014 Campbell et al. 2014 to recover a short generator
- 11 Geometric statement from Analytic Number Theory
- 12 What about the worst case?
- 13 Open questions
