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