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- Title
Weak isometries of Hamming spaces.
- Authors
Bruner, Ryan; De Winter, Stefaan
- Abstract
Consider any permutation of the elements of a (finite) metric space that preserves a specific distance p. When is such a permutation automatically an isometry of the metric space? In this note we study this problem for the Hamming spaces H(n; q) both from a linear algebraic and combinatorial point of view. We obtain some sufficient conditions for the question to have an affirmative answer, as well as pose some interesting open problems.
- Subjects
ISOMETRICS (Mathematics); PERMUTATIONS; LINEAR algebra; VECTOR spaces; MATHEMATICAL analysis
- Publication
Journal of Algebra Combinatorics Discrete Structures & Applications, 2017, Vol 4, Issue 3, p209
- ISSN
2148-838X
- Publication type
Article
- DOI
10.13069/jacodesmath.67265