Dynamic Generalization of the Vigénère Table based on the Logistics Map

  • Hana Ali-Pacha Laboratory of Coding and Security of Information, University Science and Technology of Oran Mohamed Boudiaf, BP 1505 El M’Naouer Oran 31000, Algeria
  • Naima Hadj-Said Laboratory of Coding and Security of Information, University Science and Technology of Oran Mohamed Boudiaf, BP 1505 El M’Naouer Oran 31000, Algeria
  • Adda Ali-Pacha Laboratory of Coding and Security of Information, University Science and Technology of Oran Mohamed Boudiaf, BP 1505 El M’Naouer Oran 31000, Algeria
Keywords: Vigénère cipher; Kasiski Test; Chaotic Theory; Logistic Map; Sensibility of Initials Conditions

Abstract

The Vigenère cipher is a system that allows us to substitute a character with another character that is not always the same. The disadvantage of this system is the weak length of the encryption key, which is usually less than the length of the text to be encrypted, and can unfortunately be discovered by using Kasiski's and coincidence index methods. To resolve this problem, we propose in this work to use a dynamic generalization of the Vigénère table based on the logistics map to generate a random keys as long as the length of the text.

Published
2019-06-30