Single-Round Pattern Matching Key Generation Using Physically Unclonable Function

Algorithm 1

Enrollment phase:

 (1) Generate an -bit string at random.

 (2) Divide the string into substrings with -bit each.

 (3) For , choose at random.

 (4) For , compute .

 (5) Store .

Reconstruction phase:

 (1) Set to .

 (2) Repeat the following steps times:

(a) For , generate an -bit string where each bit of is with probability , independently.

(b) For , set and look for where is near to .

(c) Increment if there exists such that .

 (3) Compute the failure probability by .