System and method for private-key fully homomorphic encryption and private search between rings
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United States of America Patent
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Apr 10, 2018
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app pub date -
Aug 25, 2015
filing date -
Sep 3, 2014
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Abstract
A system for producing a public ring that is fully homomorphically encrypted. The system comprises a processor which generates a first presentation G of a ring, where G=x,y|x2=0,y2=0,xy+(p+1)yx=1
, where x and y are generators and p is a first private prime number. The system further generates a second presentation H of the ring. H is defined as follows: H=
x,y,t|x2=0,y2=0,t=m1yx,xy+m2yx+t=1
. In addition, m1 and m2 are positive integers and p+1=m1+m2, wherein t is a generator and the first presentation G and the second presentation H are isomorphic. The system further produces a public ring Ĥ that is fully homomorphically encrypted, where:
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