Serial interpolation for secure membership testing and matching in a secret-split archive

Abstract: The various technologies presented herein relate to analyzing a plurality of shares stored at a plurality of repositories to determine whether a secret from which the shares were formed matches a term in a query. A threshold number of shares are formed with a generating polynomial operating on the secret. A process of serially interpolating the threshold number of shares can be conducted whereby a contribution of a first share is determined, a contribution of a second share is determined while seeded with the contribution of the first share, etc. A value of a final share in the threshold number of shares can be determined and compared with the search term. In the event of the value of the final share and the search term matching, the search term matches the secret in the file from which the shares are formed.
Filed: 10/14/2014
Application Number: 14/513769
This invention was made with Government support under Contract No. DE-NA0003525 awarded by the United States Department of Energy/National Nuclear Security Administration. The Government has certain rights in the invention.
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