Abstract
A quadratic extension field (QEF) defined by F1 = Fp[α]=(α2 +1) is typically used for a supersingular isogeny Diffe-Hellman (SIDH). However, there exist other attractive QEFs Fi that result in a competitive or rather efficient performing the SIDH comparing with that of F1. To exploit these QEFs without a time-consuming computation of the initial setting, the authors propose to convert existing parameter sets defined over F1 to Fi by using an isomorphic map F1 → Fi.
Original language | English |
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Pages (from-to) | 1403-1406 |
Number of pages | 4 |
Journal | IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences |
Volume | E103A |
Issue number | 12 |
DOIs | |
Publication status | Published - Dec 2020 |
Keywords
- Post-quantum cryptography
- Quadratic extension field
- SIDH
ASJC Scopus subject areas
- Signal Processing
- Computer Graphics and Computer-Aided Design
- Electrical and Electronic Engineering
- Applied Mathematics