The quantitative comparison between the integer splitting cipher and the traditional gamma cipher

The symbolic integer splitting cipher is a special mathematical method that is proposed by the authors and it can be considered as a generalization of a modular arithmetic operation. In this cipher, each text's symbol is represented as an integer in accordance with the selected code table after that this integer is replaced on the base of another number with a sequence of k integers (k-splitting level). This study is conducted from the point view of the possible hacker's attack. Two lemmas, which are related to the unauthorized access to the information transmission channel, were proven in this article; the first lemma is related to the probabilistic analysis of unauthorized restoration of the plaintext based on the gamma cipher while the second lemma studied the probabilistic analysis of unauthorized restoration of the plaintext processed by integer splitting cryptosystem. After that a quantitative comparison is performed based on these two lemmas. In the result of our study a conclusion was made that the effectiveness of the splitting cryptosystem supersedes essentially the traditional gamma cipher and also the increase in splitting level leads to greater protection of information and greater level of safety. © 2021 Copyright for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0).