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J-GLOBAL ID:200901016474364609
Update date: Sep. 06, 2024
Taniguchi Hiroaki
タニグチ ヒロアキ | Taniguchi Hiroaki
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Affiliation and department:
大和大学 教育学部
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Job title:
教授
Research field (3):
Applied mathematics and statistics
, Basic mathematics
, Algebra
Research keywords (6):
APN関数
, 有限幾何学
, 代数的組合せ論
, Design
, Code
, Finite Geometry
Research theme for competitive and other funds (6):
2021 - 2025 On APN functions $f:V\rightarrow W$
2014 - 2019 New trends in the research of dimensional dual hyperovals
2014 - 2018 Study on higher dimensional dual hyperovals and related functions on finite fields
2011 - 2014 Study on functions on finite fields and finite geometry
2008 - 2011 The study on higher dimensional dual hyperovals in finite geometry
2005 - 2008 A research on higher dimensional dual hyperovals in projective spaces
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Papers (33):
Hiroaki Taniguchi. D-property for APN functions from ${\Bbb F}_2^{n}$ to ${\Bbb F}_2^{n+1}. Cryptography and Communications. 2023
Hiroaki Taniguchi. Distance regular graphs arising from dimensional dual hyperovals. Finite Fields and Their Applications. 2021. 69. 101776-101776
TANIGUCHI Hiroaki. A variation of the dual hyperoval $S_c$ using presemifields. Designs, Codes and Cryptography. 2019. 87. 895-908
TANIGUCHI Hiroaki. On some quadratic APN functions. Designs, Codes and Cryptography. 2019. 87. 1973-1983
Hiroaki Taniguchi. Bilinear dual hyperovals from binary commutative presemifields II. FINITE FIELDS AND THEIR APPLICATIONS. 2018. 49. 62-79
more...
MISC (8):
中川暢夫, 谷口浩朗. 射影平面の諸相. 数学セミナー. 2023
谷口浩朗. 高次元のdual hyperovalに関連する距離正則グラフ (代数的組合せ論と関連する群と代数の研究). 数理解析研究所講究録. 2020. 2148. 142-151
谷口浩朗. Buratti-Del Fra型の高次元双対超卵形. 数理解析研究所講究録. 2010. 1687. 77-83
谷口浩朗. On $d$-dual hyperovals in $PG(2d,2). 数理解析研究所講究録. 2008. 1593. 213-218
Taniguchi Hiroaki. On some $d$-dual hyperovals in $PG($d$($d$+3) /2,2)(Group Theory and Related Topics). RIMS Kokyuroku. 2007. 1564. 27-31
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Books (2):
Recent trends in Mathematical Sciences
Narosa Publishing House 2001 ISBN:9788173194054
Applicable Mathematics, its Perspectives and Challenges
Narosa Publishing House 2001 ISBN:9788173194061
Lectures and oral presentations (18):
APN関数の隣接グラフとDillon's Property
(2024年度日本数学会秋季総合分科会 2024)
Semibiplanes of APN functions from ${\mathbb F}_2^n \rightarrow {\mathbb F}_2^m$
(Combinatorics 2024 2024)
2次的なAPN関数$F(x)+Tr(x)L(x)$について
(日本数学会年会 2024)
On quadratic APN functions $F(x)+Tr(x)L(x)$
(BFA2023 2023)
APN 関数 $f:V\rightarrow W$について
(第38回代数的組合せ論シンポジウム 2022)
more...
Professional career (1):
Doctor(Science) (Kanazawa University)
Association Membership(s) (1):
日本数学会
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