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".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
O número inteiro gaussiano tem potencial para aumentar a segurança da criptografia de curva elíptica (ECC) no sistema sob a condição de fixação do comprimento de bits dos tipos integral e de ponto flutuante, do ponto de vista da ordem de um campo finito. No entanto, parece não haver nenhum algoritmo que torne o ECC inteiro gaussiano mais seguro sob a condição. Apresentamos o algoritmo para aumentar a segurança do ECC sob a condição. Então, confirmamos que nosso ECC inteiro gaussiano é mais seguro do ponto de vista da ordem do corpo finito do que ECC inteiro racional ou ECC inteiro gaussiano de métodos ingênuos sob a condição.
Kazuki NAGANUMA
Kanagawa Institute of Technology
Takashi SUZUKI
Kanagawa Institute of Technology
Hiroyuki TSUJI
Kanagawa Institute of Technology
Tomoaki KIMURA
Kanagawa Institute of Technology
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Kazuki NAGANUMA, Takashi SUZUKI, Hiroyuki TSUJI, Tomoaki KIMURA, "Study of Safe Elliptic Curve Cryptography over Gaussian Integer" in IEICE TRANSACTIONS on Fundamentals,
vol. E103-A, no. 12, pp. 1624-1628, December 2020, doi: 10.1587/transfun.2020SML0002.
Abstract: Gaussian integer has a potential to enhance the safety of elliptic curve cryptography (ECC) on system under the condition fixing bit length of integral and floating point types, in viewpoint of the order of a finite field. However, there seems to have been no algorithm which makes Gaussian integer ECC safer under the condition. We present the algorithm to enhance the safety of ECC under the condition. Then, we confirm our Gaussian integer ECC is safer in viewpoint of the order of finite field than rational integer ECC or Gaussian integer ECC of naive methods under the condition.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2020SML0002/_p
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@ARTICLE{e103-a_12_1624,
author={Kazuki NAGANUMA, Takashi SUZUKI, Hiroyuki TSUJI, Tomoaki KIMURA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Study of Safe Elliptic Curve Cryptography over Gaussian Integer},
year={2020},
volume={E103-A},
number={12},
pages={1624-1628},
abstract={Gaussian integer has a potential to enhance the safety of elliptic curve cryptography (ECC) on system under the condition fixing bit length of integral and floating point types, in viewpoint of the order of a finite field. However, there seems to have been no algorithm which makes Gaussian integer ECC safer under the condition. We present the algorithm to enhance the safety of ECC under the condition. Then, we confirm our Gaussian integer ECC is safer in viewpoint of the order of finite field than rational integer ECC or Gaussian integer ECC of naive methods under the condition.},
keywords={},
doi={10.1587/transfun.2020SML0002},
ISSN={1745-1337},
month={December},}
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TY - JOUR
TI - Study of Safe Elliptic Curve Cryptography over Gaussian Integer
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1624
EP - 1628
AU - Kazuki NAGANUMA
AU - Takashi SUZUKI
AU - Hiroyuki TSUJI
AU - Tomoaki KIMURA
PY - 2020
DO - 10.1587/transfun.2020SML0002
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E103-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2020
AB - Gaussian integer has a potential to enhance the safety of elliptic curve cryptography (ECC) on system under the condition fixing bit length of integral and floating point types, in viewpoint of the order of a finite field. However, there seems to have been no algorithm which makes Gaussian integer ECC safer under the condition. We present the algorithm to enhance the safety of ECC under the condition. Then, we confirm our Gaussian integer ECC is safer in viewpoint of the order of finite field than rational integer ECC or Gaussian integer ECC of naive methods under the condition.
ER -