A lattice-based threshold secret sharing scheme

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Khorasgani, H. A ; Sharif University of Technology

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Type of Document: Article
DOI: 10.1109/ISCISC.2014.6994043
Abstract:
In this paper, we introduce a method of threshold secret sharing scheme in which secret reconstruction is based on celebrated Babai lattice algorithm. In order to supply secure public channels for transmitting shares to parties, we need to ensure that there is no quantum threats to these channels. One solution for this problem can be utilization of lattice cryptosystems for these channels which requires designing lattice based secret sharing schemes. We indicate that our scheme is asymptotically correct. Moreover, we analyze the security of our scheme by giving a quantitative proof of security from the view point of information theory
Keywords:
Threshold secret sharing scheme ; Cryptography ; Network routing ; Quantum cryptography ; Security of data ; Closest vector problem ; Lattice algorithms ; Lattice-based ; Lattice-based cryptography ; Secret reconstruction ; Secret sharing schemes ; Threshold secret sharing ; Information theory
Source: 2014 11th International ISC Conference on Information Security and Cryptology, ISCISC 2014 ; Sept , 2014 , pp. 173-179 ; ISBN: 9781479953837
URL: http://ieeexplore.ieee.org/xpl/login.jsp?tp=&arnumber=6994043&url=http%3A%2F%2Fieeexplore.ieee.org%2Fxpls%2Fabs_all.jsp%3Farnumber%3D6994043