Investigation of the Statistical Properties of the CTR Mode of the Block Cipher Based on MPF

In this paper, we investigate the statistical properties of the CTR mode of a previously presented block cipher based on the matrix power function. Relying on the obtained results we propose an improvement of our original idea to achieve a better mixing of bits. We demonstrate that the modified version of our cipher satisfies both the avalanche effect and the bit independence criterion. To evaluate the quality of the obtained results we compare them to the statistical properties of widely used AES-128 and TDES CTR modes of encryption. Additionally, we present the preliminary analysis of collisions for the CTR mode of our cipher.