MPF based symmetric cipher performance comparison to AES and TDES

Abstract

This paper presents a performance comparison of newly created matrix power function (MPF) based symmetric cipher realized in cipher-block chaining mode (CBC) with two other standardized ciphers namely AES-128 and triple DES. The encryption rate is compared using 64 bits arithmetic operations. It is shown that the proposed cipher has a significant advantage against compared ciphers. It is achieved by consuming more memory for MPF realization. Mentioned ciphers are compared using the central processing unit (CPU) the number of clock cycles required to encrypt fixed size plaintexts. This paper also includes a comparison of a number of operations required to encrypt plaintext as well as memory requirements for each of the ciphers with pre-determined parameters. The main difference between symmetric cipher based on MPF and other standardized ciphers mentioned in the paper is the ability to work with larger matrix entries in comparison to other algorithms as well as availability to parallelize the process of encrypting a single block.

CBC Mode of MPF Based Shannon Cipher Defined Over a Non-Commuting Platform Group

“…We also think that a significant boost in the performance of our cipher is because matrix operations can be parallelized and hence the encryption of a single block can be executed on multiple processors. Relying on our findings presented in Mihalkovich et al (2022), we expect that the non-commuting platform group used in our paper also contributes to the performance of our scheme. Since all powers of the elements of M 2 t are reduced modulo 2 t , the reduction process is much simpler than reducing modulo a prime.…”

“…Since all powers of the elements of M 2 t are reduced modulo 2 t , the reduction process is much simpler than reducing modulo a prime. For this reason, we think that our proposal can produce better results than those presented in Mihalkovich et al (2022). However, verifying this claim requires additional research thus far.…”

“…We leave the performance evaluation and comparison to other ciphers for our future work. Based on the findings presented in Mihalkovich et al (2022), we expect to achieve similar results for the to-be-presented CBC mode built on the non-commuting group.…”

“…In our previous paper (Mihalkovich et al, 2022), we considered the performance of the cipher block chaining (CBC) mode based on MPF mapping. Moreover, we evaluated the computational costs of AES and TDES protocols operating in the CBC mode based on the notion of clock cycles.…”

“…Notably, our cipher has another interesting property that was not considered previously in Mihalkovich et al (2022). Since our cipher is based on matrix operations we can achieve a significant boost of performance speed by implementing parallelization of calculations up to m 2 processors during an encryption process of each block.…”