Information Sciences: an International Journal
A New Family of Hyper-Bent Boolean Functions in Polynomial Form
Cryptography and Coding '09 Proceedings of the 12th IMA International Conference on Cryptography and Coding
International Journal of Information and Coding Theory
Some results concerning cryptographically significant mappings over GF(2n)
Designs, Codes and Cryptography
Hyper-bent Boolean functions with multiple trace terms
WAIFI'10 Proceedings of the Third international conference on Arithmetic of finite fields
A new class of bent and hyper-bent Boolean functions in polynomial forms
Designs, Codes and Cryptography
Designs, Codes and Cryptography
CCZ-equivalence of bent vectorial functions and related constructions
Designs, Codes and Cryptography
On the link of some semi-bent functions with Kloosterman sums
IWCC'11 Proceedings of the Third international conference on Coding and cryptology
A survey of some recent results on bent functions
SETA'04 Proceedings of the Third international conference on Sequences and Their Applications
Binary kloosterman sums with value 4
IMACC'11 Proceedings of the 13th IMA international conference on Cryptography and Coding
Monomial bent functions and Stickelberger's theorem
Finite Fields and Their Applications
A new class of monomial bent functions
Finite Fields and Their Applications
On multiple output bent functions
Information Processing Letters
On divisibility of exponential sums of polynomials of special type over fields of characteristic 2
Designs, Codes and Cryptography
A note on vectorial bent functions
Information Processing Letters
On generalized bent functions with Dillon's exponents
Information Processing Letters
| Hi-index | 754.84 |
In this correspondence, we focus on bent functions of the form F(2 n) rarr F(2) where x rarr Tr(alphaxd). The main contribution of this correspondence is, that we prove that for n=4r, r odd, the exponent d=(2r+1)2 allows the construction of bent functions. This open question has been posed by Canteaut based on computer experiments. As a consequence for each of the well understood families of bent functions, we now know an exponent d that yields to bent functions of the given type