NDLI: A New Efficient Threshold Ring Signature Scheme Based on Coding Theory

Content Provider	IEEE Xplore Digital Library
Author	Aguilar Melchor, C. Cayrel, P. Gaborit, P. Laguillaumie, F.
Copyright Year	1963
Abstract	Ring signatures were introduced by Rivest, Shamir, and Tauman in 2001. These signatures allow a signer to anonymously authenticate a message on behalf of a group of his choice. This concept was then extended by Bresson, Stern, and Szydlo into t-out-of-N (threshold) ring signatures in 2002. We propose in this article a generalization of Stern's code-based identification (and signature) scheme to design a practical t -out-of- N threshold ring signature scheme. The size of the resulting signatures is in O(N) and does not depend on t , contrary to most of the existing protocols. Our scheme is existentially unforgeable under a chosen message attack in the random oracle model assuming the hardness of the minimum distance problem, is unconditionally source hiding, has a very short public key and has an overall complexity in O(N). This protocol is the first efficient code-based ring signature scheme and the first code-based threshold ring signature scheme. Moreover it has a better complexity than number-theory based schemes which have a complexity in O(Nt). This paper is an extended version of a paper published in the conference PQCrypto 2008, with complete proofs and definitions.
Sponsorship	IEEE Information Theory Society
Starting Page	4833
Ending Page	4842
Page Count	10
File Size	285592
File Format	PDF
ISSN	00189448
Volume Number	57
Issue Number	7
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-07-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Protocols Public key Complexity theory Information theory Probabilistic logic threshold ring signature Code-based cryptography Stern's authentication scheme syndrome decoding
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

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