Algebraic methods in difference sets and bent functions

Journal of Algebra Combinatorics Discrete Structures and Applications ◽

10.13069/jacodesmath.940192 ◽

2021 ◽

pp. 139-148

Author(s):

Pradipkumar H. KESKAR ◽

Priyanka KUMARİ

Keyword(s):

Difference Sets ◽

Algebraic Methods ◽

Bent Functions

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

Journal of Algebraic Combinatorics ◽

10.1007/s10801-012-0356-2 ◽

2012 ◽

Vol 37 (1) ◽

pp. 11-26 ◽

Cited By ~ 4

Author(s):

Yu Qing Chen ◽

John Polhill

Keyword(s):

Difference Sets ◽

Bent Functions ◽

Partial Difference ◽

Group Schemes ◽

Partial Difference Sets

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Semifields, relative difference sets, and bent functions

Algebraic Curves and Finite Fields ◽

10.1515/9783110317916.161 ◽

2014 ◽

pp. 161-178 ◽

Cited By ~ 5

Keyword(s):

Difference Sets ◽

Relative Difference ◽

Bent Functions ◽

Relative Difference Sets

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Constructions of bent functions and difference sets

Advances in Cryptology — EUROCRYPT ’90 - Lecture Notes in Computer Science ◽

10.1007/3-540-46877-3_13 ◽

1991 ◽

pp. 151-160 ◽

Cited By ~ 30

Author(s):

Kaisa Nyberg

Keyword(s):

Difference Sets ◽

Bent Functions

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Bent and vectorial bent functions, partial difference sets, and strongly regular graphs

Advances in Mathematics of Communications ◽

10.3934/amc.2018041 ◽

2018 ◽

Vol 12 (4) ◽

pp. 691-705

Author(s):

Ayça Çeşmelioğlu ◽

◽

Wilfried Meidl ◽

Keyword(s):

Difference Sets ◽

Bent Functions ◽

Strongly Regular Graphs ◽

Regular Graphs ◽

Partial Difference ◽

Partial Difference Sets ◽

Strongly Regular

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Vectorial bent functions and partial difference sets

Designs Codes and Cryptography ◽

10.1007/s10623-021-00919-y ◽

2021 ◽

Author(s):

Ayça Çeşmelioğlu ◽

Wilfried Meidl ◽

Isabel Pirsic

Keyword(s):

Difference Sets ◽

Bent Functions ◽

Partial Difference ◽

Partial Difference Sets

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Combinatorial Designs, Difference Sets, and Bent Functions as Perfect Colorings of Graphs and Multigraphs

Siberian Mathematical Journal ◽

10.1134/s0037446620050109 ◽

2020 ◽

Vol 61 (5) ◽

pp. 867-877

Author(s):

V. N. Potapov ◽

S. V. Avgustinovich

Keyword(s):

Difference Sets ◽

Bent Functions ◽

Combinatorial Designs

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Automorphisms and Equivalence of Bent Functions and of Difference Sets in Elementary Abelian 2-Groups

Communications in Algebra ◽

10.1080/00927870500442062 ◽

2006 ◽

Vol 34 (3) ◽

pp. 1077-1131 ◽

Cited By ~ 15

Author(s):

U. Dempwolff

Keyword(s):

Difference Sets ◽

Bent Functions

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On Constant-Weight Multi-Valued Sequences from Cyclic Difference Sets

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

10.1587/transfun.e96.a.171 ◽

2013 ◽

Vol E96.A (1) ◽

pp. 171-176 ◽

Cited By ~ 2

Author(s):

Takayasu KAIDA ◽

Junru ZHENG

Keyword(s):

Difference Sets ◽

Constant Weight ◽

Cyclic Difference Sets

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The Lower Bounds on the Second Order Nonlinearity of Bent Functions and Semi-bent Functions

JOURNAL OF ELECTRONICS INFORMATION TECHNOLOGY ◽

10.3724/sp.j.1146.2010.00191 ◽

2010 ◽

Vol 32 (10) ◽

pp. 2521-2525

Author(s):

Xue-lian Li ◽

Yu-pu Hu ◽

Jun-tao Gao

Keyword(s):

Lower Bounds ◽

Second Order ◽

Bent Functions ◽

Second Order Nonlinearity

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PDE, Differential Geometric and Algebraic Methods for Nonlinear Filtering.

10.21236/ada310330 ◽

1996 ◽

Author(s):

Stephen S. Yau

Keyword(s):

Nonlinear Filtering ◽

Algebraic Methods

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