[Resource Topic] 2023/441: Unconditionally secure ciphers with a short key for a source with unknown statistics

Welcome to the resource topic for 2023/441

Title:
Unconditionally secure ciphers with a short key for a source with unknown statistics

Authors: Boris Ryabko

Abstract:

We consider the problem of constructing an unconditionally secure cipher with a short key for the case where the probability distribution of encrypted messages is unknown. Note that unconditional security means that an adversary with no computational constraints can obtain only a negligible amount of information (“leakage”) about an encrypted message (without knowing the key).
Here we consider the case of a priori (partially) unknown message source statistics.
More specifically, the message source probability distribution belongs to a given family of distributions. We propose an unconditionally secure cipher for this case. As an example, one can consider constructing
a single cipher for texts written in any of the languages of the European Union. That is, the message to be encrypted could be written in any of these languages.

ePrint: https://eprint.iacr.org/2023/441

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