Algorithm 1: Enrollment process
Givena biometricfeature vector
, a randomly chosen word 
of length k and a generated matrix G that defined the error correcting code
Encodethe word 
as a codeword 
of length n
Find the encrypted feature vector 
Set the system 
Set 
Repeat
Find the reduced GrÓ§bner bases G of 
with respected the specified ordering
Set 
Until G takes of the form 
Find the vector 
of unknown syndromes of 
Computethe error vector 
Store the first k bits, 
, of the corrected codeword 
and the word 
together with the user information in the central database