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The Optimal Linear Secret Sharing Scheme for Non-Threshold Access Structure

Author: ZhangChengLi
Tutor: TangChunMing
School: Guangzhou University
Course: Applied Mathematics
Keywords: Channel structure Linear secret sharing scheme Linear codes
CLC: TN918.1
Type: Master's thesis
Year: 2011
Downloads: 13
Quote: 0
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Abstract


Cryptography protocol for group study , are basically the nature of the threshold . For non - threshold groups cryptography , due to the complexity of the structure of its channel so that its implementation is very difficult . In this paper , we study the linear non - threshold channel structure key sharing scheme . In this paper, do the following aspects of work : 1. Secret sharing scheme , the gamma and attack of the channel structure structure ( ? ) Mutual decision . Thus, if known channel structure gamma , we give a search the attacker structure ( ? ) Algorithm. 2 according to the structure of the channel structure gamma and attack by ( ? ) Construct the corresponding generator matrix G and inspection matrix H , and thus prove the existence of a length of n 1 linear code ( i.e. the ideal key sharing system ) to achieve a given channel structure is equivalent to constructing quadratic congruence group GHT = 0 is solvable . If the linear equation group GHT = 0 solvable , then there is the length n 1 linear code given channel structure . On the contrary does not exist . If there is no length n 1 ideal linear code given channel structure, then we give the optimal linear secret sharing scheme (ie, the information rate ) algorithm . Attacker derived from a structure more complex , we propose another attack who seek structure algorithm based on linear codes .

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