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Relations among Notions of Complete Non-malleability: Indistinguishability Characterisation and Efficient Construction without Random Oracles

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Part of the book series:Lecture Notes in Computer Science ((LNSC,volume 6168))

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Abstract

We study relations among various notions of complete non-malleability, where an adversary can tamper with both ciphertexts and public-keys, and ciphertext indistinguishability. We follow the pattern of relations previously established for standard non-malleability. To this end, we propose a more convenient and conceptually simpler indistinguishability-based security model to analyse completely non-malleable schemes. Our model is based on strong decryption oracles, which provide decryptions under arbitrarily chosen public keys. We give the first precise definition of a strong decryption oracle, pointing out the subtleties in different approaches that can be taken. We construct the firstefficient scheme, which is fully secure against strong chosen-ciphertext attacks, and therefore completely non-malleable, without random oracles.

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Author information

Authors and Affiliations

  1. CCTC/Departamento de Informática, Universidade do Minho, Campus de Gualtar, 4710-057, Braga, Portugal

    Manuel Barbosa

  2. Information Security Group, Royal Holloway, University of London, Egham, Surrey, TW20 0EX, United Kingdom

    Pooya Farshim

Authors
  1. Manuel Barbosa

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  2. Pooya Farshim

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Editor information

Editors and Affiliations

  1. Department of Computing, Macquarie University,, NSW 2109, North Ryde, Australia

    Ron Steinfeld

  2. Qualcomm Incorporated, Suite 301, Level 3, 77 King Street, NSW 2000, Sydney, Australia

    Philip Hawkes

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Barbosa, M., Farshim, P. (2010). Relations among Notions of Complete Non-malleability: Indistinguishability Characterisation and Efficient Construction without Random Oracles. In: Steinfeld, R., Hawkes, P. (eds) Information Security and Privacy. ACISP 2010. Lecture Notes in Computer Science, vol 6168. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14081-5_10

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Chapter
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