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quarkslab / NFLlib

NTT-based Fast Lattice library
MIT License
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Why this Specified Format of Primes ? #43

Closed fionser closed 5 years ago

fionser commented 5 years ago

NFL uses 2^62 - i * 2 * kMaxPolyDegree + 1 primes. Does any reason for this specific form ? Could we use any other 62-bit long prime ?

carlosaguilarmelchor commented 5 years ago

No this is needed to ensure that there are primitive roots of unity of large-enough degree, which in turn is required by the NTT algorithm. Carlos