Analysis of Keystream Produced by Generalized Shrinking Multiplexing Generator Controlled by Ternary m-sequence

The stream cipher research field is very significant as contemporary communication channels need fast and secure encryption. To ensure unconditional security in stream ciphers the used keystream must be nonlinear and with good pseudo noise properties. By this motivation, in this paper a keystream produced by Generalized Shrinking Multiplexing Generator controlled by Ternary m-sequences (GSMG-3m) is analyzed. Statistical, spectral and approximate entropy tests are done to ensure the randomness properties of keystream sequences produced by the GSMG-3m. Some cryptanalysis of GSMG-3m are done and it is proven that GSMG-3m is more secure than Shrinking Generator (SG) to attacks through its control ternary m-sequence and linear complexity.