Hybrid Message-Embedded Cipher Using Logistic Map

TL;DR

This paper introduces a hybrid encryption scheme combining hill cipher and chaotic message embedding using logistic maps, analyzing its security features and resistance to attacks.

Contribution

It presents a modified chaotic message embedding scheme with analysis of key space, security against brute-force and plaintext attacks, and demonstrates its encryption and decryption capabilities.

Findings

Key space is less than 2100, but keys are identifiable for security.

Scheme exhibits average key sensitivity.

Successfully encrypts and decrypts complete files.

Abstract

The proposed hybrid message embedded scheme consists of hill cipher combined with message embedded chaotic scheme. Message-embedded scheme using non-linear feedback shift register as non-linear function and 1-D logistic map as chaotic map is modified, analyzed and tested for avalanche property and strength against known plaintext attack and brute-force attack. Parameter of logistic map acts as a secret key. As we know that the minimum key space to resist brute-force attack is 2100, and it is observed from analysis that key space of the discussed method is lesser than 2100. But the identifiability test concludes that the scheme consists of identifiable keys which are sufficient condition to resist brute-force attack for chaotic ciphers. A complete file can be encrypted and decrypted successfully by the method that assures security against brute force attack. It is also concluded that the scheme has an average key sensitivity.