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Erschienen in:
2014 | OriginalPaper | Buchkapitel
Practical Signatures from the Partial Fourier Recovery Problem
verfasst von : Jeff Hoffstein, Jill Pipher, John M. Schanck, Joseph H. Silverman, William Whyte
Erschienen in: Applied Cryptography and Network Security
Verlag: Springer International Publishing
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We present PASS
RS
, a variant of the prior PASS and PASS-2 proposals, as a candidate for a practical post-quantum signature scheme. Its hardness is based on the problem of recovering a ring element with small norm from an incomplete description of its Chinese remainder representation. For our particular instantiation, this corresponds to the recovery of a vector with small infinity norm from a limited set of its Fourier coefficients.
The key improvement over previous versions of PASS is the introduction of a rejection sampling technique from Lyubashevsky (2009) which assures that transcript distributions are completely decoupled from the keys that generate them.
Although the scheme is not supported by a formal security reduction, we present extensive arguments for its security and derive concrete parameters based on the performance of state of the art lattice reduction and enumeration techniques.