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Image encryption using the logistic map coupled to a self-synchronizing streaming
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DOI：10.1007/s11042-022-12649-x.png)
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Abstract
En 中文
A large number of image encryption algorithms have been proposed in recent years to solve security challenges associated with multimedia communications. Thanks to its simplicity, the logistic map (LM) was abundantly used in the design of these ciphers. However, a careful analysis of the LM reveals that it exhibits weaknesses such as a periodicity in some sequences of numbers it generates, coupled to the short interval of its control parameters. These drawbacks weaken LM-based ciphers. In this paper, we have designed a robust cryptosystem based on the LM coupled to a self-synchronous stream cipher mode, using an external 256-bit key, and operating in a diffusion and permutation round. In this cipher, the secret key is transformed and used to compute values of initial conditions, control parameter values and some other elements needed for encryption. The technique used made up for the LM shortcomings and yielded a more robust cipher as far as cryptanalysis is concerned. An average NCPR of 99.62 and UACI of 33.53 with a keyspace of 10(144), and an entropy of 7.9994 coupled to an average correlation of 0.003 were obtained during the cryptosystem evaluation. These results are encouraging as they compare favourably with those from papers of good standing in literature.
Keywords:
Encryption
Logistic map
Self-synchronizing streaming
Diffusion
Permutation
Journal
IF:
3
Papers:
1.9W
Citations:
3.2W