An effective biometric discretization approach to extract highly discriminative, informative, and privacy-protective binary representation

EURASIP Journal on Advances in Signal Processing

Table 1 A collection of n_DBR-bit DBRs and n_BRGC-bit BRGCs for S = 8 and 16 with [τ] indicating the codeword index.

Direct binary representation (DBR)						Binary reflected gray code (BRGC)
n _DBR = 3 S = 8		n _DBR = 4 S = 16				n _BRGC = 3 S = 8		n _BRGC = 4 S = 16
[0]	000	[0]	0000	[8]	1000	[0]	000	[0]	0000	[8]	1100
[1]	001	[1]	0001	[9]	1001	[1]	001	[1]	0001	[9]	1101
[2]	010	[2]	0010	[10]	1010	[2]	011	[2]	0011	[10]	1111
[3]	011	[3]	0011	[11]	1011	[3]	010	[3]	0010	[11]	1110
[4]	100	[4]	0100	[12]	1100	[4]	110	[4]	0110	[12]	1010
[5]	101	[5]	0101	[13]	1101	[5]	111	[5]	0111	[13]	1011
[6]	110	[6]	0110	[14]	1110	[6]	101	[6]	0101	[14]	1001
[7]	111	[7]	0111	[15]	1111	[7]	100	[7]	0100	[15]	1000