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A New Public-Key Cryptosystem Based on the Problem of Reconstructing p–Polynomials

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Coding and Cryptography (WCC 2005)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 3969))

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Abstract

In this paper we present a new public key cryptosystem whose security relies on the intractability of the problem of reconstructing p–polynomials. This is a cryptosystem inspired from the Augot–Finiasz cryptosystem published at Eurocrypt 2003. Though this system was broken by Coron, we show However, in our case, we show how these attacks can be avoided, thanks to properties of rank metric and p–polynomials. Therefore, public-keys of relatively small size can be proposed (less than 4000 bits).

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References

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Faure, C., Loidreau, P. (2006). A New Public-Key Cryptosystem Based on the Problem of Reconstructing p–Polynomials. In: Ytrehus, Ø. (eds) Coding and Cryptography. WCC 2005. Lecture Notes in Computer Science, vol 3969. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11779360_24

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  • DOI: https://doi.org/10.1007/11779360_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-35481-9

  • Online ISBN: 978-3-540-35482-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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