[Resource Topic] 2019/870: The Eleventh Power Residue Symbol

Welcome to the resource topic for 2019/870

Title:
The Eleventh Power Residue Symbol

Authors: Marc Joye, Oleksandra Lapiha, Ky Nguyen, David Naccache

Abstract:

This paper presents an efficient algorithm for computing 11^{\mathrm{th}}-power residue symbols in the cyclotomic field \mathbb{Q}(\zeta_{11}), where \zeta_{11} is a primitive 11^{\mathrm{th}} root of unity. It extends an earlier algorithm due to Caranay and Scheidler (Int. J. Number Theory, 2010) for the 7^{\mathrm{th}}-power residue symbol. The new algorithm finds applications in the implementation of certain cryptographic schemes.

ePrint: https://eprint.iacr.org/2019/870

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