A construction method of an isomorphic map between quadratic extension fields applicable for SIDH

Yuki NANJO, Masaaki SHIRASE, Takuya KUSAKA, Yasuyuki NOGAMI

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)1403-1406
Number of pages4
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
VolumeE103A
Issue number12
DOIs
Publication statusPublished - 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

Fingerprint Dive into the research topics of 'A construction method of an isomorphic map between quadratic extension fields applicable for SIDH'. Together they form a unique fingerprint.

Cite this