[Resource Topic] 2020/1310: A note on the low order assumption in class group of an imaginary quadratic number fields

Welcome to the resource topic for 2020/1310

Title:
A note on the low order assumption in class group of an imaginary quadratic number fields

Authors: Karim Belabas, Thorsten Kleinjung, Antonio Sanso, Benjamin Wesolowski

Abstract:

In this short note we analyze the low order assumption in the imaginary quadratic number fields. We show how this assumption is broken for Mersenne primes. We also provide a description on how to possible attack this assumption for other class of prime numbers leveraging some new mathematical tool coming from higher (cubic) number fields.

ePrint: https://eprint.iacr.org/2020/1310

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