Consideration of Generating Suitable Parameters for Constructing type (h, m) Gauss Period Normal Basis

Keiji Yoshimoto; Yuta Kodera; Takuya Kusaka; Yasuyuki Nogami

doi:10.1109/ICCE-TW52618.2021.9603240

Consideration of Generating Suitable Parameters for Constructing type (h, m) Gauss Period Normal Basis

Keiji Yoshimoto, Yuta Kodera, Takuya Kusaka, Yasuyuki Nogami

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In this research, the authors consider and evaluate a method to find a prime number that satisfies the condition to construct type(h, m) Gauss period Normal Basis. More precisely, we use methods for prime factorization, elliptic curve method, to determine the suitability of a prime number for the construction. In addition, we consider the condition of parameters that easy to find such a prime.

Original language	English
Title of host publication	2021 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781665433280
DOIs	https://doi.org/10.1109/ICCE-TW52618.2021.9603240
Publication status	Published - 2021
Event	8th IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021 - Penghu, Taiwan, Province of China Duration: Sept 15 2021 → Sept 17 2021

Publication series

Name	2021 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021

Conference

Conference	8th IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021
Country/Territory	Taiwan, Province of China
City	Penghu
Period	9/15/21 → 9/17/21

ASJC Scopus subject areas

Artificial Intelligence
Computer Science Applications
Electrical and Electronic Engineering
Control and Optimization
Instrumentation

Access to Document

10.1109/ICCE-TW52618.2021.9603240

Cite this

Yoshimoto, K., Kodera, Y., Kusaka, T., & Nogami, Y. (2021). Consideration of Generating Suitable Parameters for Constructing type (h, m) Gauss Period Normal Basis. In 2021 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021 (2021 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICCE-TW52618.2021.9603240

Consideration of Generating Suitable Parameters for Constructing type (h, m) Gauss Period Normal Basis. / Yoshimoto, Keiji; Kodera, Yuta ; Kusaka, Takuya et al.
2021 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021. Institute of Electrical and Electronics Engineers Inc., 2021. (2021 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Yoshimoto, K, Kodera, Y , Kusaka, T & Nogami, Y 2021, Consideration of Generating Suitable Parameters for Constructing type (h, m) Gauss Period Normal Basis. in 2021 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021. 2021 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021, Institute of Electrical and Electronics Engineers Inc., 8th IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021, Penghu, Taiwan, Province of China, 9/15/21. https://doi.org/10.1109/ICCE-TW52618.2021.9603240

Yoshimoto K, Kodera Y , Kusaka T , Nogami Y. Consideration of Generating Suitable Parameters for Constructing type (h, m) Gauss Period Normal Basis. In 2021 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021. Institute of Electrical and Electronics Engineers Inc. 2021. (2021 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021). doi: 10.1109/ICCE-TW52618.2021.9603240

Yoshimoto, Keiji ; Kodera, Yuta ; Kusaka, Takuya et al. / Consideration of Generating Suitable Parameters for Constructing type (h, m) Gauss Period Normal Basis. 2021 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021. Institute of Electrical and Electronics Engineers Inc., 2021. (2021 IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021).

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abstract = "In this research, the authors consider and evaluate a method to find a prime number that satisfies the condition to construct type(h, m) Gauss period Normal Basis. More precisely, we use methods for prime factorization, elliptic curve method, to determine the suitability of a prime number for the construction. In addition, we consider the condition of parameters that easy to find such a prime. ",

author = "Keiji Yoshimoto and Yuta Kodera and Takuya Kusaka and Yasuyuki Nogami",

note = "Funding Information: ACKNOWLEDGMENT This work was partly supported by a JSPSKAKENHI Grant-in-Aid for Research Activity Start-up 20K23327. Publisher Copyright: {\textcopyright} 2021 IEEE.; 8th IEEE International Conference on Consumer Electronics-Taiwan, ICCE-TW 2021 ; Conference date: 15-09-2021 Through 17-09-2021",

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Consideration of Generating Suitable Parameters for Constructing type (h, m) Gauss Period Normal Basis

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