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This paper investigates compression of data encrypted with block ciphers,such as the Advanced Encryption Standard (AES). It is shown that such data canbe feasibly compressed without knowledge of the secret key. Block ciphersoperating in various chaining modes are considered and it is shown howcompression can be achieved without compromising security of the encryptionscheme. Further, it is shown that there exists a fundamental limitation to thepractical compressibility of block ciphers when no chaining is used betweenblocks. Some performance results for practical code constructions used tocompress binary sources are presented.

On Compression of Data Encrypted with Block Ciphers