Researches of functions on finite fields coming regular affine planes

正仿射平面有限域函数的研究

• 批准号: 23540035
• 负责人: NAKAGAWA Nobuo
• 金额: $ 1.75万
• 依托单位: Kinki University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2011
• 资助国家: 日本
• 起止时间: 2011-04-28 至 2015-03-31
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23540035/
• 关键词: APN functions; finite fields; permutation group; EA-equivalence; plnar functions; alternative product; cryptography; linear equations; APN関数; 置換群; 有限体の交代積; Extended Affine同値; 有限体上の線形群; Gold functions; Hamming distance; 線形方程式; 平面関数; APN fu

项目成果

有限射影平面及び有限アフィン平面について

关于有限射影平面和有限仿射平面

• 发表时间: 2014
• 作者: Y. Hamahata;T. Ichikawa;A. Murase and T. Sugano;小山信也;Nobuo Nakagawa;中川 暢夫
• 通讯作者: 中川 暢夫

On non-isomorphism problems of strongly regular graphs

关于强正则图的非同构问题

• 发表时间: 2011
• 作者: Y. Hamahata;T. Ichikawa;A. Murase and T. Sugano;小山信也;Nobuo Nakagawa;中川 暢夫;Fumika Suzuki;中川 暢夫;Shin-ya Koyama;Nobuo Nakagawa;Shin-ya Koyama and Fumika Suzuki;Shin-ya Koyama and Fumika Suzuki;Nobuo Nakagawa
• 通讯作者: Nobuo Nakagawa

On quadratic planar functions from the view points of permutation groups

从置换群的角度看二次平面函数

• 发表时间: 2013
• 作者: Y. Hamahata;T. Ichikawa;A. Murase and T. Sugano;小山信也;Nobuo Nakagawa;中川 暢夫;Fumika Suzuki;中川 暢夫
• 通讯作者: 中川 暢夫

On equations of finite fields of characteristic 2 and APN functions

关于特征2和APN函数的有限域方程

• 发表时间: 2015
• 期刊: AKCE International Journal of Graphs and Combinatorics
• 影响因子: 1
• 作者: B. Heim;A. Murase;Atsushi Murase and Bernhard Heim;Shin-ya Koyama and Nobushige Kurokawa;A. Murase;Shin-ya Koyama and Sachiko Nakajima;A. Murase;小山信也;B. Heim and A. Murase;Shin-ya Koyama and Nobushige Kurokawa;B. Heim and A. Murase;Shin-ya Koyama and Nobushige Kurokawa;B. Heim and A. Murase;Nobuo Nakagawa
• 通讯作者: Nobuo Nakagawa

On planar functions and p-ary bent functions

关于平面函数和p元弯曲函数

• 发表时间: 2011
• 期刊: 第２８回代数組み合せ論シンポジュウム報告集
• 作者: B. Heim;A. Murase;Atsushi Murase and Bernhard Heim;Shin-ya Koyama and Nobushige Kurokawa;A. Murase;Shin-ya Koyama and Sachiko Nakajima;A. Murase;小山信也;B. Heim and A. Murase;Shin-ya Koyama and Nobushige Kurokawa;B. Heim and A. Murase;Shin-ya Koyama and Nobushige Kurokawa;B. Heim and A. Murase;Nobuo Nakagawa;Atsushi Murase;小山信也;Nobuo Nakagawa
• 通讯作者: Nobuo Nakagawa