Abstract
This paper presents efficient secure auction protocols for first price auction and second price auction. Previous auction protocols are based on a generally secure multi-party protocol called mix-and-match protocol. However, the time complexity of the mix-and-match protocol is large, although it can securely calculate any logical circuits. The proposed protocols reduce the number of times the mix-and-match protocol is used by replacing them with the Boneh-Goh-Nissim encryption, which enables calculation of 2-DNF of encrypted data.
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