| CPC H04L 9/3231 (2013.01) [H04L 9/0866 (2013.01); H04L 9/30 (2013.01); H04L 9/3271 (2013.01)] | 20 Claims |

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1. A computer system comprising:
a processor; and
a non-transitory computer readable medium coupled to the processor, the non-transitory computer readable medium comprising code, executable by the processor for implementing a method of registering a biometric stored on a user device with a verifier device, the method comprising:
providing, to the verifier device, an encrypted biometric vector c stored on the user device, the encrypted biometric vector c generated by encrypting a biometric vector x using a user public key, wherein a user secret key corresponds to the user public key;
receiving, from the verifier device, a challenge message including a masked encrypted biometric vector |w|, an encrypted first cancellation value |v|, an encrypted second cancellation value |v|, wherein a first cancellation value v is determined using values of the encrypted biometric vector c and at least with a first random value β, and wherein a second cancellation value v is determined using values of the encrypted biometric vector c and at least a second random value β;
decrypting, using the user secret key, the masked encrypted biometric vector |w|, to obtain a masked biometric vector w, the encrypted first cancellation value |v| to obtain the first cancellation value v, and the encrypted second cancellation value |v| to obtain the second cancellation value v;
generating a first challenge response z using the first cancellation value v and the masked biometric vector w;
generating a second challenge response z using the second cancellation value v and the masked biometric vector w; and
providing, to the verifier device, the first challenge response z and the second challenge response z, thereby enabling the verifier device to validate that (i) the first challenge response z matches a public value y and (ii) the second challenge response z matches the public value y.
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