weak isometries of hamming spaces

Clicks: 2
ID: 235550
2016
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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.

Reference Key
bruner2016journalweak Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Ryan Bruner;Stefaan De Winter
Journal Plant disease
Year 2016
DOI
10.13069/jacodesmath.67265
URL
http://dergipark.ulakbim.gov.tr/jacodesmath/article/view/5000198248
Keywords
mathematics

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