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One of the most complete references on Hamming distances and coding in general was written by Hamming [roman1980coding]

Lee distances have been of interest since 1994, mainly due to the following paper which discusses Lee codes and their relation [hammons1994z]

The Lee distance is been found useful in other contexts [bose1995lee]

A CSP model is presented in [rowsym03]

AlanM. Frisch, Chris Jefferson, and Ian Miguel
Constraints for Breaking More Row and Column Symmetries
Principles and Practice of Constraint Programming – CP 2003, 318-332, 2003

Bella Bose, Bob Broeg, Younggeun Kwon, and Yaagoub Ashir
Lee distance and topological properties of k-ary n-cubes
Computers, IEEE Transactions on 44(8), 1021–1030, 1995

A Roger Hammons Jr, P Vijay Kumar, A Robert Calderbank, Neil JA Sloane, and Patrick Solé
The Z 4-linearity of Kerdock, Preparata, Goethals, and related codes
Information Theory, IEEE Transactions on 40(2), 301–319, 1994

Steven Roman
Coding and information theory