Recently two encryption schemes were proposed by combining circular bit shift
and XOR operations, under the control of a pseudorandom bit sequence (PRBS)
generated from a chaotic system. This paper studies the security of these two
encryption schemes and reports the following findings: 1) there exist some
security defects in both schemes; 2) the underlying chaotic PRBS can be
reconstructed as an equivalent key by using only two chosen plaintexts; 3) most
elements in the underlying chaotic PRBS can be obtained by a differential
known-plaintext attack using only two known plaintexts. Experimental results
are given to demonstrate the feasibility of the proposed attack.Comment: 17 pages, 8 figure