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A Lattice-Based Threshold Ring Signature Scheme

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Progress in Cryptology – LATINCRYPT 2010 (LATINCRYPT 2010)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 6212))

Abstract

In this article, we propose a new lattice-based threshold ring signature scheme, modifying Aguilar’s code-based solution to use the short integer solution (SIS) problem as security assumption, instead of the syndrome decoding (SD) problem. By applying the CLRS identification scheme, we are also able to have a performance gain as result of the reduction in the soundness error to 1/2 per round. Such gain is also maintained through the application of the Fiat-Shamir heuristics to derive signatures from our identification scheme. From security perspective we also have improvements, because our scheme exhibits a worst-case to average-case reduction typical of lattice-based cryptosystems. This gives us confidence that a random choice of parameters results in a system that is hard to break, in average.

Supported by The State of São Paulo Research Foundation under grant 2008/07949-8.

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Author information

Authors and Affiliations

  1. CASED – Center for Advanced Security Research Darmstadt, Mornewegstrasse, 32, 64293, Darmstadt, Germany

    Pierre-Louis Cayrel

  2. Fachbereich Informatik Kryptographie und Computeralgebra, Technische Universität Darmstadt, Hochschulstraße 10, 64289, Darmstadt, Germany

    Richard Lindner & Markus Rückert

  3. Institute of Computing, State University of Campinas (UNICAMP), P.O. Box 6176, 13084-971, Campinas, Brazil

    Rosemberg Silva

Authors
  1. Pierre-Louis Cayrel
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  2. Richard Lindner
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  3. Markus Rückert
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  4. Rosemberg Silva
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Editor information

Editors and Affiliations

  1. Computer Science Department, École Normale Supérieure, 45 Rue d’Ulm, 75230, Paris Cedex 05, France

    Michel Abdalla

  2. Computer Architecture and Networking Laboratory (LARC), Universidade de Sáo Paulo, Av. Prof. Luciano Gualberto, trav.3, n.158, 05508-900, Sáo Paulo (SP), Brazil

    Paulo S. L. M. Barreto

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Cayrel, PL., Lindner, R., Rückert, M., Silva, R. (2010). A Lattice-Based Threshold Ring Signature Scheme. In: Abdalla, M., Barreto, P.S.L.M. (eds) Progress in Cryptology – LATINCRYPT 2010. LATINCRYPT 2010. Lecture Notes in Computer Science, vol 6212. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14712-8_16

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  • DOI: https://doi.org/10.1007/978-3-642-14712-8_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14711-1

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