An Information Theoretically Secure E-Lottery Scheme Based on Symmetric Bivariate Polynomials

E-lottery schemes have attracted much interest from both industry and academia recently, because they are not only useful to raise funds for charity institutions, but also can be used as the major building blocks to design micro-payment systems. In the literature, a number of e-lottery schemes have...

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Main Authors: Zhe Xia, Yining Liu, Ching-Fang Hsu, Chin-Chen Chang
Format: Article
Language:English
Published: MDPI AG 2019-01-01
Series:Symmetry
Subjects:
Online Access:http://www.mdpi.com/2073-8994/11/1/88
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author Zhe Xia
Yining Liu
Ching-Fang Hsu
Chin-Chen Chang
author_facet Zhe Xia
Yining Liu
Ching-Fang Hsu
Chin-Chen Chang
author_sort Zhe Xia
collection DOAJ
description E-lottery schemes have attracted much interest from both industry and academia recently, because they are not only useful to raise funds for charity institutions, but also can be used as the major building blocks to design micro-payment systems. In the literature, a number of e-lottery schemes have been introduced over the last two decades. However, most of these schemes rely on some computational assumptions. In this paper, we introduce a novel e-lottery scheme that achieves information theoretical security. Our proposed scheme is designed using symmetric bivariate polynomials, and it satisfies the required security properties, such as correctness, unpredictability, verifiability, and robustness. Moreover, the winning number is generated in a distributed fashion, so that no trusted third party needs to be involved and the danger of a single point of failure is minimized.
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spelling doaj.art-8aefe6c945254a109d734813f97a95ce2022-12-22T03:45:29ZengMDPI AGSymmetry2073-89942019-01-011118810.3390/sym11010088sym11010088An Information Theoretically Secure E-Lottery Scheme Based on Symmetric Bivariate PolynomialsZhe Xia0Yining Liu1Ching-Fang Hsu2Chin-Chen Chang3School of Computer Science, Wuhan University of Technology, Wuhan 430070, ChinaSchool of Computer and Information Security, Guilin University of Electronic Technology, Guilin 541004, ChinaComputer School, Central China Normal University, Wuhan 430079, ChinaDepartment of Information Engineering and Computer Science, Feng Chia University, Taichung 43301, TaiwanE-lottery schemes have attracted much interest from both industry and academia recently, because they are not only useful to raise funds for charity institutions, but also can be used as the major building blocks to design micro-payment systems. In the literature, a number of e-lottery schemes have been introduced over the last two decades. However, most of these schemes rely on some computational assumptions. In this paper, we introduce a novel e-lottery scheme that achieves information theoretical security. Our proposed scheme is designed using symmetric bivariate polynomials, and it satisfies the required security properties, such as correctness, unpredictability, verifiability, and robustness. Moreover, the winning number is generated in a distributed fashion, so that no trusted third party needs to be involved and the danger of a single point of failure is minimized.http://www.mdpi.com/2073-8994/11/1/88e-lotterysymmetric bivariate polynomialverifiable secret sharinginformation theoretical security
spellingShingle Zhe Xia
Yining Liu
Ching-Fang Hsu
Chin-Chen Chang
An Information Theoretically Secure E-Lottery Scheme Based on Symmetric Bivariate Polynomials
Symmetry
e-lottery
symmetric bivariate polynomial
verifiable secret sharing
information theoretical security
title An Information Theoretically Secure E-Lottery Scheme Based on Symmetric Bivariate Polynomials
title_full An Information Theoretically Secure E-Lottery Scheme Based on Symmetric Bivariate Polynomials
title_fullStr An Information Theoretically Secure E-Lottery Scheme Based on Symmetric Bivariate Polynomials
title_full_unstemmed An Information Theoretically Secure E-Lottery Scheme Based on Symmetric Bivariate Polynomials
title_short An Information Theoretically Secure E-Lottery Scheme Based on Symmetric Bivariate Polynomials
title_sort information theoretically secure e lottery scheme based on symmetric bivariate polynomials
topic e-lottery
symmetric bivariate polynomial
verifiable secret sharing
information theoretical security
url http://www.mdpi.com/2073-8994/11/1/88
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