A New Family of Ternary Sequences with IdealTwo-level Autocorrelation Function
Designs, Codes and Cryptography
Signal Design for Good Correlation: For Wireless Communication, Cryptography, and Radar
Signal Design for Good Correlation: For Wireless Communication, Cryptography, and Radar
IEEE Transactions on Information Theory
New cyclic difference sets with Singer parameters
Finite Fields and Their Applications
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In this paper we investigate some properties of the crosscorrelation spectrum of an m-sequence awith period 2m茂戮驴 1 and a d-decimation b. Recently, Lahtonen et. al. [1] calculated the crosscorrelation value 茂戮驴d(1) for specific exponents (i.e. for Gold and Kasami type). In this paper we generalize this result to all known almost bent exponents. In [1], the authors also prove that Gold functions are bent on some hyperplanes with respect to the base field $\mathbb{F}{2}$. We also generalize this result and show that Gold functions are bent on all hyperplanes with respect to any subfield $\mathbb{F}{2^k}$. We also show that $\Theta_d(1) \ne 0$ for many exponents d, and conclude that many sequences of type a+ b(including m-sequences added to an almost bent decimation) do not have perfect autocorrelation.