In this paper, we propose a new class of logical functions over residue ring of integers modulo p, where p is a prime. The magnitudes of the Chrestenson Spectra for this kind of functions, called as kth-order quasi-generalized Bent functions, take only two values - 0 and a nonzero constant. By using the relationships between Chrestenson spectra and the autocorrelation functions for logical functions over ring Zp, we present some equivalent definitions of this kind of functions. In the end, we investigate the constructions of the kth-order quasi-generalized Bent functions, including the typical method and the recursive method from the technique of number theory. © Springer-Verlag Berlin Heidelberg 2005.
CITATION STYLE
Teng, J., Li, S., & Huang, X. (2005). The kth-order quasi-generalized bent functions over ring Zp. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 3822 LNCS, pp. 189–201). Springer Verlag. https://doi.org/10.1007/11599548_16
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