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DOI: 10.4230/LIPIcs.TQC.2015.147
Making Existential-unforgeable Signatures Strongly Unforgeable in the Quantum Random-oracle Model

Authors: Edward Eaton and Fang Song

Published in: LIPIcs, Volume 44, 10th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2015)

Abstract
Strongly unforgeable signature schemes provide a more stringent security guarantee than the standard existential unforgeability. It requires that not only forging a signature on a new message is hard, it is infeasible as well to produce a new signature on a message for which the adversary has seen valid signatures before. Strongly unforgeable signatures are useful both in practice and as a building block in many cryptographic constructions. This work investigates a generic transformation that compiles any existential-unforgeable scheme into a strongly unforgeable one, which was proposed by Teranishi et al. [Teranishi/Oyama/Ogata, Cryptology-Indocrypt 2006] and was proven in the classical random-oracle model. Our main contribution is showing that the transformation also works against quantum adversaries in the quantum random-oracle model. We develop proof techniques such as adaptively programming a quantum random-oracle in a new setting, which could be of independent interest. Applying the transformation to an existential-unforgeable signature scheme due to Cash et al. [Cash/Hofheinz/Kiltz/Peikert, J. of Cryptology 2012], which can be shown to be quantum-secure assuming certain lattice problems are hard for quantum computers, we get an efficient quantum-secure strongly unforgeable signature scheme in the quantum random-oracle model.
Cite as

Edward Eaton and Fang Song. Making Existential-unforgeable Signatures Strongly Unforgeable in the Quantum Random-oracle Model. In 10th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 44, pp. 147-162, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)

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@InProceedings{eaton_et_al:LIPIcs.TQC.2015.147,
  author =	{Eaton, Edward and Song, Fang},
  title =	{{Making Existential-unforgeable Signatures Strongly Unforgeable in the Quantum Random-oracle Model}},
  booktitle =	{10th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2015)},
  pages =	{147--162},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-96-5},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{44},
  editor =	{Beigi, Salman and K\"{o}nig, Robert},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.TQC.2015.147},
  URN =		{urn:nbn:de:0030-drops-55540},
  doi =		{10.4230/LIPIcs.TQC.2015.147},
  annote =	{Keywords: digital signatures, strongly unforgeable, quantum random-oracle, lattices}
}
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