An Improvement of Linear Cipher Using Public Tables, Pairs of Moduli, and Periodic Keys

Authors

Abstract

In this paper, we propose an improvement of the linear cipher using a public table, which can be used for decryption only by the recipient, and a pair of moduli to prevent successful determination of the private keys by the opponent. Our scheme also uses a periodic key for encrypting each block of plaintext and decrypting each block of ciphertext. We find that our modified linear cipher is more secure against frequency analysis, a ciphertext-only attack, and a known-plaintext attack than the classical linear cipher.               Keywords :  cryptography, linear cipher, periodic key, pair of moduli, public table

Author Biographies

Sukanya Homwong, Khon Kaen University

M.Sc. Student in Applied Mathematics

Thotsaphon Thongjunthug, Khon Kaen University

Lecturer in Mathematics

References

Burton, D.M. (2007). Elementary Number Theory. (6th ed.). New York: McGraw-Hill.
Rajan, A., & Balakumaran, D. (2014). Advancement in Caesar cipher by randomization and delta formation. In Proceedings of the 2014 IEEE International Conference on Information Communication and Embedded Systems. (pp. 1-4). Piscataway: Institute of Electrical and Electronics Engineers.
Senthil, K., Prasanthi, K., & Rajaram, R. (2013). A modern avatar of Julius Caesar and Vigenère cipher. In Proceedings of the 2013 IEEE International Conference on Computational Intelligence and Computing Research. (pp. 1-3). Piscataway: Institute of Electrical and Electronics Engineers.
Singh, A., Nandal, A., & Malik, S. (2012). Implementation of Caesar cipher with rail fence for enhancing data security. International Journal of Advanced Research in Computer Science and Software Engineering, 2(12), 78-82.
Stallings, W. (2011). Cryptography and Network Security: Principles and Practice. (5th ed.). Upper Saddle River: Pearson Education.
Stinson, D.R. (2006). Cryptography: Theory and Practice. (3rd ed.). Boca Raton: Chapman & Hall/CRC.

Downloads

Published

2018-07-02