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2017 | OriginalPaper | Buchkapitel

RingRainbow – An Efficient Multivariate Ring Signature Scheme

verfasst von : Mohamed Saied Emam Mohamed, Albrecht Petzoldt

Erschienen in: Progress in Cryptology - AFRICACRYPT 2017

Verlag: Springer International Publishing

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Abstract

Multivariate Cryptography is one of the main candidates for creating post-quantum cryptosystems. Especially in the area of digital signatures, there exist many practical and secure multivariate schemes. However, there is a lack of more advanced schemes, such as schemes for oblivious transfer and signature schemes with special properties. While, in the last years, a number of multivariate ring signature schemes have been proposed, all of these have weaknesses in terms of security or efficiency. In this paper we propose a simple and efficient technique to extend arbitrary multivariate signature schemes to ring signature schemes and illustrate it using the example of Rainbow. The resulting scheme provides perfect anonymity for the signer (as member of a group), as well as shorter ring signatures than all previously proposed post-quantum ring signature schemes.

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Fußnoten
1
Of course, the attacker could try to transform the given system of high degree into a quadratic one. However, even if the given system is very sparse, this increases the number of equations and variables in the quadratic system drastically. Furthermore, the ratio between the number of variables and the number of equations gets close to 1.
 
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Metadaten
Titel
RingRainbow – An Efficient Multivariate Ring Signature Scheme
verfasst von
Mohamed Saied Emam Mohamed
Albrecht Petzoldt
Copyright-Jahr
2017
DOI
https://doi.org/10.1007/978-3-319-57339-7_1

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