An algorithm for cycle and add property of m-sequence

The cycle and add properties (CAP) of m-sequences are discussed. For given integers τ and η, a method which decides λ to satisfy the CAP {a_k+η}+{a_k+τ}={a_k+λ} is proposed; the acquisition of the CAP of an m-sequence, {a_k}, only depends on the reciprocal polynomial of the primitive polynomial which produces the m-sequence and the cyclotomic cosets mod pⁿ-1.