@article{article_259733, title={Weak isometries of Hamming spaces}, journal={Journal of Algebra Combinatorics Discrete Structures and Applications}, volume={3}, pages={209–216}, year={2016}, DOI={10.13069/jacodesmath.67265}, author={Bruner, Ryan and De Winter, Stefaan}, abstract={<p>Consider any permutation of the elements of a (finite) metric space that preserves a specific distance <br />p. When is such a permutation automatically an isometry of the metric space? In this note we study <br />this problem for the Hamming spaces H(n,q) both from a linear algebraic and combinatorial point <br />of view. We obtain some sufficient conditions for the question to have an affirmative answer, as well <br />as pose some interesting open problems. </p>}, number={3}, publisher={iPeak Academy}