Partial difference sets and amorphic group schemes from pseudo-quadratic bent functions

被引：0

作者：

Yu Qing Chen

John Polhill

机构：

[1] Wright State University,Department of Mathematics and Statistics

[2] Bloomsburg University,Department of Mathematics, Computer Science, and Statistics

来源：

Journal of Algebraic Combinatorics | 2013年 / 37卷

关键词：

Amorphic association scheme; Association scheme; Bent function; Partial difference set; Quadratic form; Negative Latin square;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We present new abelian partial difference sets and amorphic group schemes of both Latin square type and negative Latin square type in certain abelian p-groups. Our method is to construct what we call pseudo-quadratic bent functions and use them in place of quadratic forms. We also discuss a connection between strongly regular bent functions and amorphic group schemes.

引用

页码：11 / 26

页数：15

共 50 条

[41] Plateaued functions on finite abelian groups and partial geometric difference sets
Xu, Bangteng
[J]. JOURNAL OF COMBINATORIAL DESIGNS, 2022, 30 (04) : 220 - 250
[42] Bent functions from a finite abelian group into a finite abelian group
Solodovnikov, V.I.
[J]. Discrete Mathematics and Applications, 2002, 12 (02): : 111 - 126
[43] A Maximization Algorithm of Pseudo-convex Quadratic Functions on Closed Convex Sets in Euclidean Spaces
Jabri, Youssef
Jaddar, A. Bdessamad
Taj, Mourad
[J]. BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2022, 40
[44] Subdivision Schemes of Sets and the Approximation of Set-Valued Functions in the Symmetric Difference Metric
Shay Kels
Nira Dyn
[J]. Foundations of Computational Mathematics, 2013, 13 : 835 - 865
[45] Subdivision Schemes of Sets and the Approximation of Set-Valued Functions in the Symmetric Difference Metric
Kels, Shay
Dyn, Nira
[J]. FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, 2013, 13 (05) : 835 - 865
[46] Generating pseudo-random sequences from cellular automata and bent functions
Garcia, Francisco J.
Requena, Veronica
Tomas, Virtudes
[J]. PROCEEDINGS OF THE 6TH WSEAS INTERNATIONAL CONFERENCE ON INFORMATION SECURITY AND PRIVACY (ISP '07): ADVANCED TOPICS IN INFORMATION SECURITY AND PRIVACY, 2007, : 40 - +
[47] Chaotification schemes of first-order partial difference equations via sine functions
Liang, Wei
Zhang, Zihan
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2019, 25 (05) : 665 - 675
[48] A Construction of Minimal Linear Codes From Partial Difference Sets
Tao, Ran
Feng, Tao
Li, Weicong
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2021, 67 (06) : 3724 - 3734
[49] Pseudo-Paley graphs and skew Hadamard difference sets from presemifields
Weng, Guobiao
Qiu, Weisheng
Wang, Zeying
Xiang, Qing
[J]. DESIGNS CODES AND CRYPTOGRAPHY, 2007, 44 (1-3) : 49 - 62
[50] Pseudo-Paley graphs and skew Hadamard difference sets from presemifields
Guobiao Weng
Weisheng Qiu
Zeying Wang
Qing Xiang
[J]. Designs, Codes and Cryptography, 2007, 44 : 49 - 62

← 1 2 3 4 5 →