Construction of bent functions via Niho power functions
Journal of Combinatorial Theory Series A
Bent functions embedded into the recursive framework of $${\mathbb{Z}}$$ -bent functions
Designs, Codes and Cryptography
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Several Families of Sequences with Low Correlation and Large Linear Span
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
New Sequences with Low Correlation and Large Family Size
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
A family of m-sequences with five-valued cross correlation
IEEE Transactions on Information Theory
Further results on m-sequences with five-valued cross correlation
IEEE Transactions on Information Theory
Binary almost-perfect sequence sets
IEEE Transactions on Information Theory
Crosscorrelation of m-sequences, exponential sums, bent functions and Jacobsthal sums
Cryptography and Communications
A survey of some recent results on bent functions
SETA'04 Proceedings of the Third international conference on Sequences and Their Applications
On Niho type cross-correlation functions of m-sequences
Finite Fields and Their Applications
Propagation characteristics of x→ x-1 and Kloosterman sums
Finite Fields and Their Applications
The divisibility modulo 24 of Kloosterman sums on GF(2m), m even
Finite Fields and Their Applications
On the equation x2l+1+x+a=0 over GF(2k)
Finite Fields and Their Applications
Dickson polynomials, hyperelliptic curves and hyper-bent functions
SETA'12 Proceedings of the 7th international conference on Sequences and Their Applications
| Hi-index | 755.02 |
Suppose that n=2k is even. We study the cross-correlation function between two m-sequences for Niho type decimations d=(2k-1)s+1. We develop a new technique to study the value distribution of these cross-correlation functions, which makes use of Dickson polynomials. As a first application, we derive here the distribution of the six-valued cross-correlation function for s=3 and odd k, up to a term which depends on Kloosterman sums. In addition, applying simpler methods, we prove a theorem providing Niho type decimations with four-valued cross-correlation functions and their distribution. We conjecture that the latter result actually covers all such decimations.