  The two-terminal key agreement problem with biometric or physical identifiers
is considered. Two linear code constructions based on Wyner-Ziv coding are
developed. The first construction uses random linear codes and achieves all
points of the key-leakage-storage regions of the generated-secret and
chosen-secret models. The second construction uses nested polar codes for
vector quantization during enrollment and for error correction during
reconstruction. Simulations show that the nested polar codes achieve
privacy-leakage and storage rates that improve on existing code designs. One
proposed code achieves a rate tuple that cannot be achieved by existing
methods.
