Efficient Secure Auction Protocols Based on the Boneh-Goh-Nissim Encryption

Takuho MITSUNAGA  Yoshifumi MANABE  Tatsuaki OKAMOTO  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E96-A   No.1   pp.68-75
Publication Date: 2013/01/01
Online ISSN: 1745-1337
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Cryptography and Information Security)
Category: Public Key Based Protocols
Keyword: 
secure auction,  1st price auction,  2nd price auction,  Boneh-Goh-Nissim encryption,  mix-and-match protocol,  

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Summary: 
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 based on plaintext equality tests. However, the time complexity of the plaintext equality tests is large, although the mix-and-match protocol can securely calculate any logical circuits. The proposed protocols reduce the number of times the plaintext equality tests is used by replacing them with the Boneh-Goh-Nissim encryption, which enables calculation of 2-DNF of encrypted data.