The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
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Um campo de extensão quadrática (QEF) definido por F1 = Fp[α]/(α2+1) é normalmente usado para uma isogenia supersingular Diffie-Hellman (SIDH). No entanto, existem outros QEFs atraentes Fi que resultem em um desempenho competitivo ou bastante eficiente do SIDH em comparação com o de F1. Para explorar esses QEFs sem um cálculo demorado da configuração inicial, os autores propõem converter conjuntos de parâmetros existentes definidos ao longo de F1 para Fi usando um mapa isomórfico F1 → Fi.
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 -