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On the Impossibility of Strong Encryption Over \(\aleph_0\)

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Coding and Cryptology (IWCC 2009)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 5557))

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Abstract

We give two impossibility results regarding strong encryption over an infinite enumerable domain. The first one relates to statistically secure one-time encryption. The second one relates to computationally secure encryption resisting adaptive chosen ciphertext attacks in streaming mode with bounded resources: memory, time delay or output length. Curiously, both impossibility results can be achieved with either finite or continuous domains. The latter result explains why known CCA-secure cryptosystem constructions require at least two passes to decrypt a message with bounded resources.

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Author information

Authors and Affiliations

  1. Loughborough Uni, U.K.

    Raphael C. -W. Phan

  2. EPFL, Switzerland

    Serge Vaudenay

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  1. Raphael C. -W. Phan
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  2. Serge Vaudenay
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Editors and Affiliations

  1. National Computer Systems, Center for Information Technology,, 73 Science Park Drive, S0511, Republic of Singapore

    Yeow Meng Chee  & San Ling  & 

  2. National University of Defense Technology, 411073, Changshu Hunan, China

    Chao Li

  3. National Computer Systems, Center for Information Technology, 73 Science Park Drive, S0511, Republic of Singapore

    Huaxiong Wang  & Chaoping Xing  & 

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Phan, R.C.W., Vaudenay, S. (2009). On the Impossibility of Strong Encryption Over \(\aleph_0\) . In: Chee, Y.M., Li, C., Ling, S., Wang, H., Xing, C. (eds) Coding and Cryptology. IWCC 2009. Lecture Notes in Computer Science, vol 5557. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01877-0_17

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  • DOI: https://doi.org/10.1007/978-3-642-01877-0_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01813-8

  • Online ISBN: 978-3-642-01877-0

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