@article {IOPORT.05159944, author = {Wang, Yongjuan and Han, Wenbao and Li, Shiqu}, title = {Walsh spectrum properties of rotation symmetric Boolean function.}, year = {2006}, journal = {Wuhan University Journal of Natural Sciences (WUJNS)}, volume = {11}, number = {6}, issn = {1007-1202}, pages = {1862-1864}, publisher = {Wuhan University Journals Press, Wuhan; Springer, Heidelberg}, doi = {10.1007/BF02831893}, abstract = {Summary: Rotation symmetric function was presented by Pieprzyk. The algebraic configuration of a rotation symmetric (RotS) function is special. For a RotS $n$ variable function $f(x_1,x_2,\dots,x_n)$ we have $f(\rho^k_n (x_1,x_2,\dots,x_n))= f(x_1,x_2,\dots,x_n)$ for $k=0,1,\dots,n-1$. In this paper, using a probabilistic method we find that when the parameters of a RotS function is under circular translation of indices, its Walsh spectrum is invariant. We prove the result is both sufficient and necessary.}, identifier = {05159944}, }