Mathematical formulation for the secure and versatile integration of biometric data into a cryptographic framework

This paper presents the mathematical formulation for the secure and versatile integration of biometric data into a cryptographic framework. The use of Shamir polynomial thresholding to further stabilise bitstrings derived from token-and (*)-biometric inputs, resulting in zero-uncertainty cryptographic keystrings is described. This enables direct biometric applicability in cryptographic protocols. Bio-hash implementations operate in a priori insecure environments or message-based scenarios. The versatility of discretisation based on a generic inner-product formulation raises the possibility of using Shamir interpolation to integrate multiple biometric forms ie face and fingerprint,which is combined with discrete token and/or knowledge key-factors. Therefore, token*biometric cryptographic factorizations are rigorously secure and flexible versatile.