TY - JOUR
T1 - A construction method of an isomorphic map between quadratic extension fields applicable for SIDH
AU - NANJO, Yuki
AU - SHIRASE, Masaaki
AU - KUSAKA, Takuya
AU - NOGAMI, Yasuyuki
N1 - Funding Information:
This research was supported by JSPS KAKENHI Grant Numbers 19J2108611 and 19K11966.
Publisher Copyright:
© 2020 The Institute of Electronics, Information and Communication Engineers.
PY - 2020/12
Y1 - 2020/12
N2 - 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.
AB - 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.
KW - Post-quantum cryptography
KW - Quadratic extension field
KW - SIDH
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U2 - 10.1587/transfun.2020TAL0002
DO - 10.1587/transfun.2020TAL0002
M3 - Article
AN - SCOPUS:85098009841
VL - E103A
SP - 1403
EP - 1406
JO - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
JF - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
SN - 0916-8508
IS - 12
ER -