A note on vectorial bent functions

Authors:
Deshuai Dong;Xue Zhang;Longjiang Qu;Shaojing Fu
Affiliations:
Luoyang Electronic Equipment Test Center of China, Luoyang, 471003, China;Science College, National University of Defense Technology, Changsha, 410073, China;Science College, National University of Defense Technology, Changsha, 410073, China;School of Computer Science, National University of Defense Technology, Changsha, 410073, China
Venue:
Information Processing Letters
Year:
2013

Citing 12
Cited 0

A characterization of binary bent functions

Journal of Combinatorial Theory Series A
Results on bent functions

Journal of Combinatorial Theory Series A
A Larger Class of Cryptographic Boolean Functions via a Study of the Maiorana-McFarland Construction

CRYPTO '02 Proceedings of the 22nd Annual International Cryptology Conference on Advances in Cryptology
On Cryptographically Secure Vectorial Boolean Functions

ASIACRYPT '99 Proceedings of the International Conference on the Theory and Applications of Cryptology and Information Security: Advances in Cryptology
Nonlinear functions in abelian groups and relative difference sets

Discrete Applied Mathematics
On the construction of bent vectorial functions

International Journal of Information and Coding Theory
Perfect nonlinear S-boxes

EUROCRYPT'91 Proceedings of the 10th annual international conference on Theory and application of cryptographic techniques
CCZ-equivalence of bent vectorial functions and related constructions

Designs, Codes and Cryptography
On bent and highly nonlinear balanced/resilient functions and their algebraic immunities

AAECC'06 Proceedings of the 16th international conference on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Monomial bent functions

IEEE Transactions on Information Theory
Monomial bent functions and Stickelberger's theorem

Finite Fields and Their Applications
New cyclic difference sets with Singer parameters

Finite Fields and Their Applications

Quantified Score

Hi-index	0.89

Visualization

Abstract

In this paper we give three methods on the constructions of vectorial bent functions from F"2^n to F"2^n^2, where n is a positive even integer. The first two kinds of functions are based on monomial bent functions. The third kind of functions are based on partial spreads bent functions, and those vectorial bent functions can achieve the largest algebraic degree.