同态签密方案及其在电子投票中的应用

摘要

A provably secure signcryption scheme based on both homomorphic encryption technology and homomor-phic message authentication technology was proposed. It was to meet the secure statistical requirements and tradeoff between anonymity and verifiability in electronic voting protocol. The confidentiality and verifiability of messages was guaranteed by the signcryption property. The anonymity of message was ensured by homonorphic property. The patch decryption and batch validation of message was achieved by the aggregation property. An electronic voting protocol based on this signcryption scheme was proposed. The tradeoff between anonymity and verifiability was implemented.%针对电子投票协议中匿名性与可验证性之间的安全统计需求,采用秘密同态的思想,基于同态加密算法与同态消息认证码算法,构造了一个可证安全的同态签密方案.方案的签密属性能同时保障传输消息的机密性与可验证性；方案的同态属性能保障消息的匿名性；方案的聚合属性实现了消息的批解密与批验证.将同态签密方案应用于电子投票,构造一个安全的电子投票协议,解决了电子投票协议中匿名性与可验证性之间的矛盾.