Systems and methods for stable physically unclonable functions

A method of reliably reproducing randomly generated unique bit sequences, the method comprising:

• determining mismatch data related to at least one physical characteristic of a plurality of Physically Unclonable Function (PUF) elements, the mismatch data being associated with a first distribution;
• sorting at least some of the mismatch data by magnitude and polarity to generate sorted mismatch values;
• pairing sorted mismatch values to generate a paired value that is associated with a second distribution;
• and
• generating a bit sequence using the paired value, wherein the paired value is generated by combining a first sorted mismatch value associated with a large positive number with a second sorted mismatch value associated with a relatively smaller negative number, the paired value.

A method of reliably reproducing randomly generated unique bit sequences, the method comprising:

• determining mismatch data related to at least one physical characteristic of a plurality of Physically Unclonable Function (PUF) elements, the mismatch data being associated with a first distribution;
• sorting at least some of the mismatch data by magnitude and polarity to generate sorted mismatch values;
• pairing sorted mismatch values to generate a first paired value that is associated with a second distribution and a second paired value that is associated with a third distribution;
• pairing the first and second paired values to generate a fourth distribution;
• and
• generating a bit sequence using the first and second paired values.