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   Weak isometries of Hamming spaces  
   
نویسنده bruner ryan ,winter stefaan de
منبع journal of algebra combinatorics discrete structures and applications - 2016 - دوره : 3 - شماره : 3 - صفحه:209 -216
چکیده    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.
کلیدواژه Hamming space ,Weak isometry ,Eigenvalue collapsing
آدرس michigan technological university, department of mathematical sciences, usa, michigan technological university, department of mathematical sciences, usa
 
     
   
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