In this paper, we analyze complemented group Cellular Automata (CA) derived from Linear Hybrid Group CA with rules 60, 102 and 204. We analyze some properties of the CA. And we give rule vectors which determine the state transition of the CA dividing the entire state space into smaller spaces of equal lengths, and find conditions for the complement vectors… (More)
In this paper, we study the number of solutions to the equation (x + 1) d = x d + 1. This equation gives the value of the third power sum equation in case of Niho type exponents and is helpful in finding the distribution of the values C d (τ). We provide the number of the solutions using the new method.
In this paper, we find the values and the number of occurrences of each value of the cross-correlation function C d (τ) when d = 2 k−1 2 s −1 (2 k(i+1) − 2 ki + 2 s+1 − 2 k − 1), where n = 2k, s is an integer such that 2s divides k, and i is odd.