IEICE TRANSACTIONS on Fundamentals
Study of Safe Elliptic Curve Cryptography over Gaussian Integer
Summary :
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.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E103-A No.12 pp.1624-1628
- Publication Date
- 2020/12/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.2020SML0002
- Type of Manuscript
- Special Section LETTER (Special Section on Smart Multimedia & Communication Systems)
- Category
- Cryptography and Information Security
Authors
Kazuki NAGANUMA
Kanagawa Institute of Technology
Takashi SUZUKI
Kanagawa Institute of Technology
Hiroyuki TSUJI
Kanagawa Institute of Technology
Tomoaki KIMURA
Kanagawa Institute of Technology
Keyword
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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},}
Copy
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 -
English
