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Topic: How to embed Hamming space to Hilbert one with minimum distortion?
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semenov.p

Posts: 1
Registered: 3/23/10
How to embed Hamming space to Hilbert one with minimum distortion?
Posted: Mar 23, 2010 6:30 PM
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Good day!
Hamming space is trivial linear space under $\mathbb{F}_2$-field. Is
it possible to embed Hamming space $\mathbb{B}^n$ to Hilbert one with
translating linear variety under operations from $\mathbb{F}_2$ to
linear variety under new field (may be $\mathbb{R}$) operations with
some small distortion? This problem arised becuase I have to have a
dot product that unifies a distance and norm (this is false for
Hamming space because of modulo 2 operations).
Thank you very much!




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