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Encryption schemes with additional properties

  • US 10,680,818 B2
  • Filed: 04/12/2018
  • Issued: 06/09/2020
  • Est. Priority Date: 04/12/2018
  • Status: Active Grant
First Claim
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1. A method of encrypting a message m using a Paillier cryptosystem, comprising:

  • computing a ciphertext c based upon the message m, N, and r, where N is the product of two distinct primes p and q, and r is randomly chosen such that r∈

    [1, N);

    computing a first verification value based upon u and N, where u is randomly chosen such that u∈

    [1, N); and

    computing a second verification value s based upon u, r, the ciphertext c, the verification value, and a hash function H,wherein U=uN mod N where U is the first verification value, andwherein s=u re mod N and where e=H (c, U).

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