How to construct random functions
Journal of the ACM (JACM)
How to construct pseudorandom permutations from pseudorandom functions
SIAM Journal on Computing - Special issue on cryptography
Synthesizers and their application to the parallel construction of pseudo-random functions
Journal of Computer and System Sciences - Special issue on the 36th IEEE symposium on the foundations of computer science
Feistel Ciphers with L2-Decorrelation
SAC '98 Proceedings of the Selected Areas in Cryptography
Expanding Pseudorandom Functions; or: From Known-Plaintext Security to Chosen-Plaintext Security
CRYPTO '02 Proceedings of the 22nd Annual International Cryptology Conference on Advances in Cryptology
The Security of Cipher Block Chaining
CRYPTO '94 Proceedings of the 14th Annual International Cryptology Conference on Advances in Cryptology
CRYPTO '98 Proceedings of the 18th Annual International Cryptology Conference on Advances in Cryptology
Indistinguishability of Random Systems
EUROCRYPT '02 Proceedings of the International Conference on the Theory and Applications of Cryptographic Techniques: Advances in Cryptology
Traffic Modeling of IP Networks Using the Batch Markovian Arrival Process
TOOLS '02 Proceedings of the 12th International Conference on Computer Performance Evaluation, Modelling Techniques and Tools
High-Speed Pseudorandom Number Generation with Small Memory
FSE '99 Proceedings of the 6th International Workshop on Fast Software Encryption
A Concrete Security Treatment of Symmetric Encryption
FOCS '97 Proceedings of the 38th Annual Symposium on Foundations of Computer Science
Number-theoretic constructions of efficient pseudo-random functions
FOCS '97 Proceedings of the 38th Annual Symposium on Foundations of Computer Science
A Fast and Key-Efficient Reduction of Chosen-Ciphertext to Known-Plaintext Security
EUROCRYPT '07 Proceedings of the 26th annual international conference on Advances in Cryptology
Range Extension for Weak PRFs; The Good, the Bad, and the Ugly
EUROCRYPT '07 Proceedings of the 26th annual international conference on Advances in Cryptology
Weak Pseudorandom Functions in Minicrypt
ICALP '08 Proceedings of the 35th international colloquium on Automata, Languages and Programming, Part II
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We propose modes for weakly-secure block ciphers that take one block input to provide output of arbitrary length. Damgård and Nielsen proposed such a mode called the Pseudorandom Tree (PRT) mode, and demonstrated that PRT could be used to establish a communication channel that is secure against Chosen-Plaintext Attacks, if the underlying block cipher is secure against any Known-Plaintext Attacks. We present a mode that reduces the key size of PRT to about 60% without any additional computation. We call this the Extended PRT (ERT) mode and prove its security. One drawback of PRT and ERT is that their key sizes are not much small under small expansion, since functions with small expansion are important from practical point of view. We also present a mode that greatly reduces the key size under small expansion.