Abstract
This paper proposes a novel stream encryption scheme with avalanche effect (SESAE). Using this scheme and an ideal pseudorandom number generator (PRNG) to generate d-bit segment binary key streams, one can encrypt a plaintext such that by using any key stream generated from a different seed to decrypt the ciphertext, the decrypted plaintext will become an avalanche-like text which has 2d − 1 consecutive one’s with a high probability. As a cost, the required bits of the ciphertext are d times those of the plaintext. A corresponding avalanche-type encryption theorem is established. Two chaotic 12-bit segment PRNGs are designed. A generalized FIPS140 test and SESAE test for the two chaotic PRNGs, RC4 12-bit segment PRNG and 12-bit segment Matlab PRNG are implemented. The SESAE tests for 16-bit segment PRNGs are also compared. The results suggest that those PRNGs are able to generate the SESAEs which are similar to those generated via ideal PRNGs.
Highlights
Chaos-based encryption techniques has received increasing attention recently
Any encrypted plaintext using stream encryption scheme with avalanche effect (SESAE) and any key stream generated by pseudorandom number generator (PRNG) has avalanche effect: if any key stream generated by different seeds is used to decrypt an encrypted plaintext, consecutive ones will appear in the decrypted text with a probability of (2d − 1)/2d
The avalanche effect of SESAE is investigated, which encrypts and decrypts the image Lina with 128×128 pixels shown in Figure 6a, using PRNG II
Summary
Chaos-based encryption techniques has received increasing attention recently (see, for example, [1,2,3]). Any encrypted plaintext using SESAE and any key stream generated by PRNG has avalanche effect: if any key stream generated by different seeds is used to decrypt an encrypted plaintext, consecutive ones will appear in the decrypted text with a probability of (2d − 1)/2d. Since the distributions of different d-bit segments in Pare homogenous, if cj =∼ pj one still has if one uses the key stream Pto decrypt the ciphertext C, consecutive ones will appear in the decrypted text with a probability of (2d − 1)/2d.
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