On Generalized Bent and Negabent Functions

From the last few years, generalized bent functions gain a lot of attention in research as they have many applications various fields such combinatorial design, sequence design theory, cryptography, CDMA communication, etc. A deep and broad study with their properties is done literature. Kumar et al.[11] first gave concept function. Many researchers studied characterizations functions. In [2] authors introduced (-ary) negabent some this paper, we , where src=image/13426756_02.gif> ring integers mod src=image/13426756_03.gif>, src=image/13426756_04.gif> vector space dimension src=image/13426756_05.gif> over src=image/13426756_03.gif>≥2 any positive integer. We discuss several respect to nega-Hadamard transform. also relation between transforms nega-autocorrelations. Furthermore, prove necessary sufficient conditions for bentness negabentness function generated by secondary construction src=image/13426756_04.gif>, src=image/13426756_06.gif>.