Partition Ciphering System: A Difficult Problem Based Encryption Scheme

In this article, a new encryption scheme called Partition Ciphering System is proposed to adapt and process the message according to the partition problem. The objective of this system, that can be applied as a standalone system or as a building block in a bigger system, is to achieve confidentiality, and maintain a balance between ones and zeros in the output so that attacks like frequency cryptanalysis is avoided and good entropy is met. At first, the authors describe the partition problem together with an adapted version. Secondly, the encryption and the decryption processes are provided. Next, a comparison, in terms of the statistical properties using the DIEHARDER battery, security analysis and performance, with other encryption schemes is presented. From the results, the proposed cryptosystem is resistant to frequency analysis and shows good entropy in the output. Moreover, compared to the Advanced Encryption Standard, it has a random behavior and good confusion and diffusion(Avalanche effect). Also, it displays better performance and resistance to brute force attack on the key.

@article{Ezzahra2019,
  title     = {Partition Ciphering System: A Difficult Problem Based Encryption Scheme},
  journal   = {International Journal of Advanced Computer Science and Applications},
  volume    = {10},
  number    = {11},
  year      = {2019},
  publisher = {The Science and Information Organization},
  author    = {Ziani Fatima Ezzahra and Omary Fouzia},
  doi       = {10.14569/IJACSA.2019.0101139},
  url       = {https://doi.org/10.14569/IJACSA.2019.0101139}
}