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The Shortest Non-Threshold Group Signature Scheme

Author: ChenJinSong
Tutor: TangChunMing
School: Guangzhou University
Course: Applied Mathematics
Keywords: Linear codes Linear secret sharing Digital signature Shortest non - threshold digital signature
CLC: TN918.1
Type: Master's thesis
Year: 2011
Downloads: 16
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Abstract


A digital signature is one of the research directions of the field of cryptography , an important form of group digital signature . Threshold groups due to the existence of the threshold secret sharing scheme , a digital signature is efficiently constructed . However , in real life , most of the groups digital signature may not be the threshold , so how to construct efficient non- threshold group digital signature is very meaningful . Linear secret sharing scheme is the main tool of the structure group digital signature , so the efficiency of the linear secret sharing scheme is the main affect groups of digital signatures . In this paper, for any given access structure elements , how to construct an efficient non- threshold group digital signature scheme , which is the shortest of the NAND gate limit groups digital signature . 1 for any given access structure elements , construct a shortest non- threshold group signature protocol . Its mainly linear code to get the optimal linear secret sharing scheme , and then get the digital signature of the groups , and protocol security analysis and certification . In agreement structure has two authentication algorithms : a part of the validation algorithm, which can verify which participants are not honest ; an overall verification algorithm , it can verify which group of participants , there is no dishonesty the .

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CLC: > Industrial Technology > Radio electronics, telecommunications technology > Communicate > Confidentiality of communications and communications security > Theory
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