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Is there a relation between Hamming distance and Euclidean distance?

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1

$begingroup$

Is there a relation between Hamming distance and Euclidean distance?
If components of vectors are $in 1,2$,for example. For $0,1$ everything is obvious.

euclidean-geometry

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edited Mar 17 at 23:29

Max

9211319

asked Mar 17 at 22:18

nnuttertoolsnnuttertools

285

$endgroup$

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  $begingroup$
  I don't think it is obvious The two concepts are different. Euclidean distance appears only when the code words are mapped into some Euclidean space. Then the Euclidean distance between the points corresponding to the given code words will depend highly on the mapping rule. Consider, e.g., coded modulations.
  $endgroup$
  – Matteo
  Mar 21 at 11:43
  
  

  
  
  
  

add a comment | 

1

$begingroup$

Is there a relation between Hamming distance and Euclidean distance?
If components of vectors are $in 1,2$,for example. For $0,1$ everything is obvious.

euclidean-geometry

share|cite|improve this question

edited Mar 17 at 23:29

Max

9211319

asked Mar 17 at 22:18

nnuttertoolsnnuttertools

285

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I don't think it is obvious The two concepts are different. Euclidean distance appears only when the code words are mapped into some Euclidean space. Then the Euclidean distance between the points corresponding to the given code words will depend highly on the mapping rule. Consider, e.g., coded modulations.
  $endgroup$
  – Matteo
  Mar 21 at 11:43
  
  

  
  
  
  

add a comment | 

$begingroup$

Is there a relation between Hamming distance and Euclidean distance?
If components of vectors are $in 1,2$,for example. For $0,1$ everything is obvious.

euclidean-geometry

share|cite|improve this question

edited Mar 17 at 23:29

Max

9211319

asked Mar 17 at 22:18

nnuttertoolsnnuttertools

285

$endgroup$

share|cite|improve this question

edited Mar 17 at 23:29

Max

9211319

asked Mar 17 at 22:18

nnuttertoolsnnuttertools

285

share|cite|improve this question

edited Mar 17 at 23:29

Max

9211319

asked Mar 17 at 22:18

nnuttertoolsnnuttertools

285

edited Mar 17 at 23:29

Max

9211319

edited Mar 17 at 23:29

Max

9211319

asked Mar 17 at 22:18

nnuttertoolsnnuttertools

285

asked Mar 17 at 22:18

nnuttertoolsnnuttertools

285