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On the Security of Key-Based Interval Splitting Arithmetic Coding With Respect to Message Indistinguishability

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2 Author(s)
Rajendra S. Katti ; Department of Electrical and Computer Engineering, North Dakota State University, Fargo, ND, USA ; Aida Vosoughi

Key-based interval splitting arithmetic coding (KSAC) has been proposed to improve the security of traditional arithmetic coding (AC). Chosen-plaintext attacks have been proposed for KSAC when the same key is used to encrypt different messages. In this paper, we consider a stronger version of KSAC, where different keys are used to encrypt different messages. We then use message indistinguishability to prove that this version of KSAC is insecure under ciphertext-only attacks, a weaker form of attack than chosen-plaintext attacks. Indistinguishability in the presence of an eavesdropper is a security definition equivalent to semantic security. We prove the insecurity over the alphabet {A,B} with pB=(1/2(1+2s)) and pA=1-pB where pA and pB are the probabilities of the source generating A and B, respectively, and s is the number of bits in each splitting key.

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IEEE Transactions on Information Forensics and Security  (Volume:7 ,  Issue: 3 )