[Resource Topic] 2013/683: Separations in Circular Security for Arbitrary Length Key Cycles

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Title:
Separations in Circular Security for Arbitrary Length Key Cycles

Authors: Venkata Koppula, Kim Ramchen, Brent Waters

Abstract:

While standard notions of security suffice to protect any message supplied by an adversary, in some situations stronger notions of security are required. One such notion is n-circular security, where ciphertexts Enc(pk1, sk2), Enc(pk2, sk3), …, Enc(pkn, sk1) should be indistinguishable from encryptions of zero. In this work we prove the following results for n-circular security, based upon recent candidate constructions of indistinguishability obfuscation [GGH+ 13b, CLT13]: - For any n there exists an encryption scheme that is IND-CPA secure but not n-circular secure. - There exists a bit encryption scheme that is IND-CPA secure, but not 1-circular secure. - If there exists an encryption system where an attacker can distinguish a key encryption cycle from an encryption of zeroes, then in a transformed cryptosystem there exists an attacker which recovers secret keys from the encryption cycles. Our last result is generic and applies to any such cryptosystem.

ePrint: https://eprint.iacr.org/2013/683

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