Linkable Ring Signature Scheme Using Biometric Cryptosystem and NIZK and Its Application

Table 1

Notations.

Symbol	Representation
	Cyclic group or prime of prime order
	Ring of integers modulo
	Vector spaces of dimension over and
	Efficiently computable nondegenerate pairing
	Continuous domain
	The negligible function
	Omitting the index
	Random projection matrix composed of Gaussian row vectors
	Random projection matrix
	where
	A hash function returning a value in
	A map-to-point hash function