METHOD OF XOR HOMOMORPHIC ENCRYPTION AND SECURE CALCULATION OF A HAMMING DISTANCE
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United States of America Patent
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Dec 17, 2015
app pub date -
Jan 30, 2014
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Feb 1, 2013
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Abstract
The invention concerns a method for encrypting a binary data item characterised in that it comprises the steps consisting of: —generating a public key and a private key, the public key being a sparse matrix comprising m rows and n columns, m being greater than the number I of bits of the binary data item, I being an integer strictly greater than 1, and the private key being a set of I indexed sets of integers between 1 and m such that for each set, the sum of the elements of the rows of the sparse matrix indexed by the elements of a set is zero, and—generating a binary sequence b comprising m bits, such that b=Mx+e+y in which o x is a random binary vector, o e is a random binary noise vector, and o y is a linear encoding of data item c. The invention also concerns a method for calculating a Hamming distance on data encrypted by the method of encryption.
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