Shift Register Sequences
Some new three-valued crosscorrelation functions for binary m-sequences
IEEE Transactions on Information Theory
Binary m-sequences with three-valued crosscorrelation: a proof of Welch's conjecture
IEEE Transactions on Information Theory
Maximal recursive sequences with 3-valued recursive cross-correlation functions (Corresp.)
IEEE Transactions on Information Theory
On the odd and the aperiodic correlation properties of the Kasami sequences
IEEE Transactions on Information Theory
A Proof of the Welch and Niho Conjectures on Cross-Correlations of Binary m-Sequences
Finite Fields and Their Applications
A Generalization of Niho's Theorem
Designs, Codes and Cryptography
New Sequences with Low Correlation and Large Family Size
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
A class of Boolean functions with four-valued Walsh spectra
APCC'09 Proceedings of the 15th Asia-Pacific conference on Communications
Crosscorrelation of m-sequences, exponential sums, bent functions and Jacobsthal sums
Cryptography and Communications
The solutions of the third power sum equation for niho type decimations
AAECC'06 Proceedings of the 16th international conference on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
On Niho type cross-correlation functions of m-sequences
Finite Fields and Their Applications
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Let @w be a primitive element of GF(2^n), where n=0(mod4). Let d=(2^2^k+2^s^+^1-2^k^+^1-1)/(2^s-1), where n=2k, and s is such that 2s divides k. We prove that the binary m-sequences s(t)=tr(@w^t) and s(dt) have a four-level cross-correlation function and give the distribution of the values.