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A Construction Method of an Isomorphic Map between Quadratic Extension Fields Applicable for SIDH
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Summary :
A quadratic extension field (QEF) defined by F1 = Fp[α]/(α2+1) is typically used for a supersingular isogeny Diffie-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.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E103-A No.12 pp.1403-1406
- Publication Date
- 2020/12/01
- Publicized
- 2020/07/06
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.2020TAL0002
- Type of Manuscript
- Special Section LETTER (Special Section on Information Theory and Its Applications)
- Category
- Cryptography and Information Security
Authors
Yuki NANJO
Okayama University
Masaaki SHIRASE
Future University Hakodate
Takuya KUSAKA
Okayama University
Yasuyuki NOGAMI
Okayama University
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Yuki NANJO, Masaaki SHIRASE, Takuya KUSAKA, Yasuyuki NOGAMI, "A Construction Method of an Isomorphic Map between Quadratic Extension Fields Applicable for SIDH" in IEICE TRANSACTIONS on Fundamentals,
vol. E103-A, no. 12, pp. 1403-1406, December 2020, doi: 10.1587/transfun.2020TAL0002.
Abstract: A quadratic extension field (QEF) defined by F1 = Fp[α]/(α2+1) is typically used for a supersingular isogeny Diffie-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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2020TAL0002/_p
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@ARTICLE{e103-a_12_1403,
author={Yuki NANJO, Masaaki SHIRASE, Takuya KUSAKA, Yasuyuki NOGAMI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Construction Method of an Isomorphic Map between Quadratic Extension Fields Applicable for SIDH},
year={2020},
volume={E103-A},
number={12},
pages={1403-1406},
abstract={A quadratic extension field (QEF) defined by F1 = Fp[α]/(α2+1) is typically used for a supersingular isogeny Diffie-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.},
keywords={},
doi={10.1587/transfun.2020TAL0002},
ISSN={1745-1337},
month={December},}
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TY - JOUR
TI - A Construction Method of an Isomorphic Map between Quadratic Extension Fields Applicable for SIDH
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1403
EP - 1406
AU - Yuki NANJO
AU - Masaaki SHIRASE
AU - Takuya KUSAKA
AU - Yasuyuki NOGAMI
PY - 2020
DO - 10.1587/transfun.2020TAL0002
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E103-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2020
AB - A quadratic extension field (QEF) defined by F1 = Fp[α]/(α2+1) is typically used for a supersingular isogeny Diffie-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.
ER -
English
