《電子技術(shù)應(yīng)用》
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基于同態(tài)的多對(duì)多電子投票方案設(shè)計(jì)*
網(wǎng)絡(luò)安全與數(shù)據(jù)治理 10期
霍珊珊,李艷俊,劉 健,羅昕銳
(1.中國(guó)電子科技集團(tuán)公司第十五研究所信息產(chǎn)業(yè)信息安全測(cè)評(píng)中心,北京100083; 2.北京電子科技學(xué)院,北京100070)
摘要: 電子投票方案通?;诎踩喾接?jì)算、盲簽名、同態(tài)加密和秘密共享等密碼學(xué)技術(shù)設(shè)計(jì),并通過(guò)網(wǎng)絡(luò)實(shí)現(xiàn)。與傳統(tǒng)的投票方案相比,各個(gè)角色的隱私得到了更好的保護(hù),投票和計(jì)票過(guò)程更安全高效?;赑aillier密碼的同態(tài)性設(shè)計(jì)了多對(duì)多的電子投票方案,采用預(yù)計(jì)算三元組的方式在不解密選票的情形下對(duì)贊同、棄權(quán)、反對(duì)選項(xiàng)進(jìn)行合規(guī)性判斷;然后通過(guò)密碼同態(tài)性合成總投票、計(jì)票中心解密后便能夠從m個(gè)候選人中選出t個(gè)勝出者;最后證明了方案的正確性和安全性,并分析了方案實(shí)現(xiàn)需要的通信代價(jià)和投票人、可信中心以及計(jì)票員的計(jì)算量。方案整體實(shí)現(xiàn)效率高,適用于大型電子投票的場(chǎng)合。
中圖分類號(hào):TP309.7
文獻(xiàn)標(biāo)識(shí)碼:A
DOI:10.19358/j.issn.2097-1788.2023.10.008
引用格式:霍珊珊,李艷俊,劉健,等.基于同態(tài)的多對(duì)多電子投票方案設(shè)計(jì)[J].網(wǎng)絡(luò)安全與數(shù)據(jù)治理,2023,42(10):49-54.
Design of a multi-to-multi electronic voting scheme based on homomorphism
Huo Shanshan 1,Li Yanjun 1,2,Liu Jian 1,Luo Xinrui 2
(1.Information Industry Information Security Evaluation Center, The 15th Research Institute of China Electronics Technology Group Corporation, Beijing 100083, China; 2.Beijing Institute of Electronic Science and Technology, Beijing 100070, China)
Abstract: The electronic voting system is usually designed based on cryptography technologies such as secure multiparty computation, blind signature, homomorphic encryption and secret sharing, and is realized through the network. Compared with traditional voting, the privacy of each role is well protected, and the voting and counting process is more secure and efficient. Based on the homogeneity of Paillier cipher, this paper designed a multitomulti voting scheme, which uses precalculated triples to judge the three options of approval, abstention, and objection without decrypting the votes. Then the total vote is generated because of the cryptohomomorphism, and the counting center can select the first t winners from the m candidates after decryption. The correctness and security was proved, and the communication cost requirement and the computational workload of voters, trusted centers, and tellers required for the implementation of the scheme were analyzed. The overall efficiency of the scheme is high, and it is suitable for largescale electronic voting occasions.
Key words : electronic voting; Paillier cipher; homomorphic encryption; security

0    引言

隨著網(wǎng)絡(luò)技術(shù)的飛速發(fā)展,互聯(lián)網(wǎng)所提供的各種便利服務(wù)也越來(lái)越為人們所接受與采用。與傳統(tǒng)的投票方案相比,電子投票方案基于密碼技術(shù)設(shè)計(jì)并通過(guò)網(wǎng)絡(luò)實(shí)現(xiàn),投票和計(jì)票過(guò)程速度更快,投票結(jié)果也更準(zhǔn)確,同時(shí)還能保護(hù)投票者的隱私安全,在保護(hù)公民的合法權(quán)益方面發(fā)揮著重要作用。21世紀(jì)以來(lái),美國(guó)、瑞士等西方國(guó)家已經(jīng)在國(guó)內(nèi)大范圍使用電子投票系統(tǒng),涉及政治、經(jīng)濟(jì)等多個(gè)領(lǐng)域。然而,近二十幾年美國(guó)發(fā)生多起電子投票系統(tǒng)被黑客入侵的事件,包括將候選人票數(shù)對(duì)調(diào)、錯(cuò)算選票和不計(jì)算選票等。2019年,瑞士政府賞重金邀請(qǐng)黑客尋找電子投票系統(tǒng)的漏洞。2022 年7月巴西總統(tǒng)認(rèn)為當(dāng)時(shí)使用的電子投票系統(tǒng)存在漏洞而要求廢除。除此之外,法國(guó)、意大利和澳大利亞等國(guó)家的電子投票系統(tǒng)也都曾出現(xiàn)過(guò)嚴(yán)重漏洞。因此,電子投票的安全性至關(guān)重要。




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作者信息:

霍珊珊1,李艷俊1,2,劉健1,羅昕銳2

(1.中國(guó)電子科技集團(tuán)公司第十五研究所信息產(chǎn)業(yè)信息安全測(cè)評(píng)中心,北京100083;2.北京電子科技學(xué)院,北京100070)


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