The authors break a three-stage PNDCC example and a class of multi-stage variants using differential, S-PTC, ISBDA, and chain attacks, then propose plaintext-delayed chaotic ciphers as a resistant alternative.
Image encryption using 2D logistic-adjusted-sine map,
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Cryptanalysis and design for a family of plaintext-non-delayed chaotic ciphers
The authors break a three-stage PNDCC example and a class of multi-stage variants using differential, S-PTC, ISBDA, and chain attacks, then propose plaintext-delayed chaotic ciphers as a resistant alternative.