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1. Top results related to hamming distance

   • Hamming Distance vs. Levenshtein Distance

     Top Answer

     Answered Jan 03, 2011 · 48 votes

     That question really depends on the types of sequences you are matching, and what result you want.

     If it's not a problem that "1234567890" and "0123456789" are considered totally different, indeed Hamming distance is fine.

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   • Hamming Distance between two strings

     You are given two strings of equal length, you have to find the Hamming Distance between these string.  Where the Hamming distance between two strings of equal length is the number of positions at which the corresponding character is different. 

     Examples: 

     Input : str1[] = "geeksforgeeks", str2[] = "geeksandgeeks"Output : 3Explanation : The corresponding character mismatch are highlighted."geeksforgeeks" and "geeksandgeeks"Input : str1[] = "1011101", str2[] = "1001001"Output : 2Explanation : The corresponding character mismatch are highlighted."1011101" and "1001001"

     This problem can be solved with a simple approach in which we traverse the strings and count the mismatch at the corresponding position. The extended form of this problem is edit distance.

     Algorithm : 

     int hammingDist(char str1[], char str2[]){ int i = 0, count = 0; while(str1[i]!='\0') { if (str1[i] != str2[i]) count++; i++; } return count;}

     Below is the implementation of two strings. 

     C++

     // C++ program to find hamming distance b/w two string #include <bits/stdc++.h> using namespace std;   // function to calculate Hamming distance int hammingDist(string str1, string str2) {     int i = 0, count = 0;     while (str1[i] != '\0') {         if (str1[i] != str2[i]) count...

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   • Hamming distance in numpy

     Top Answer

     Answered Feb 11, 2020 · 1 votes

     You can implement this your way, using NumPy broadcasting, or using scikit learn. SciKit learn is the fastest.

     import numpy as npimport sklearn.neighbors as sn-N1 = 345N2 = 3450D = 128A = np.random.randint(0, 10, size=(N1, D))B = np.random.randint(0, 10, size=(N2, D))def slow(A, B): result = np.zeros((A.shape[0], B.shape[0])) for i in range(A.shape[0]): for j in range(B.shape[0]): result[i, j] = np.sum(A[i, :] != B[j, :]) #resulting array is of size (1 x D) return resultdef fast(A, B): return np.count_nonzero(A[:, None, :] != B[None, :, :], axis=-1)def sklearn(A, B): return sn.DistanceMetric.get_metric("hamming").pairwise(A, B) * A.shape[-1]%timeit -r1 -n1 slow(A, B)# 7.86 s ± 0 ns per loop (mean ± std. dev. of 1 run, 1 loop each)%timeit -r1 -n1 fast(A, B)# 335 ms ± 0 ns per loop (mean ± std. dev. of 1 run, 1 loop each)%timeit -r1 -n1 sklearn(A, B)# 51.1 ms ± 0 ns per loop (mean ± std. dev. of 1 run, 1 loop each)np.allclose(slow(A, B), fast(A, B)) # Truenp.allclose(fast(A, B), sklearn(A, B)) # True

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   • Hamming distance

     Top Answer

     Answered Apr 14, 2017 · 0 votes

     You are confusing between the figure and the written part.They are 2 different examples.In the diagram example of (11,7) Hamming code is given,while the example above it is discussing about (11,29).

     The Hamming distance between two strings of equal length is the number of positions at which the corresponding symbols are different.

     Hamming distance of (11,29) will be 3 as 11=01011 and 29=11101 Reach out if you want something else. Cheers

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   • Also try

     hamming distance formula	minimum hamming distance
     hamming distance calculator	hamming distance example
     hamming distance in computer networks	hamming distance definition
     hamming distance leetcode	hamming distance between two points

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2. en.wikipedia.org › wiki › Hamming_distanceHamming distance - Wikipedia

   en.wikipedia.org › wiki › Hamming_distance

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   In information theory, the Hamming distance between two strings or vectors of equal length is the number of positions at which the corresponding symbols are different. In other words, it measures the minimum number of substitutions required to change one string into the other, or equivalently, the minimum number of errors that could have ...

3. Videos

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     7:34

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     Error Correcting Codes: What is Hamming Distance and Minimum Hamming Distance ?

     Sep 5, 2021

     80.9K Views

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     6:22

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     Hamming Code/Distance Error Detection

     Feb 27, 2018

     132.6K Views

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     8:32

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     Hamming Distance and Minimum Hamming Distance || Lesson 13 || Computer Networks || Learning Monkey |

     Mar 23, 2021

     20.7K Views

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4. www.geeksforgeeks.org › concepts-of-hamming-distanceConcepts of hamming distance - GeeksforGeeks

   www.geeksforgeeks.org › concepts-of-hamming-distance

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   Feb 1, 2021 · Learn the definition, properties and applications of hamming distance, a metric for measuring the number of bit differences between two integers. Find out how hamming distance is used for error detection and correction in coding theory.

5. www.tutorialspoint.com › what-is-hamming-distanceWhat is Hamming Distance? - Online Tutorials Library

   www.tutorialspoint.com › what-is-hamming-distance

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   Nov 1, 2023 · Hamming distance is a metric for comparing two binary data strings. Learn how to calculate it, its applications in error detection and correction, and the concept of minimum Hamming distance.

6. www.youtube.com › watchError Correcting Codes: What is Hamming Distance ... - YouTube

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   Sep 5, 2021 · In this video, the basics of the Error Correction Codes and the Concept of Hamming Distance, and the Minimum Hamming Distance is Explained with examples. Tim...

   • Video Duration: 8 min
   • Views: 80.9K

   • Author: ALL ABOUT ELECTRONICS

7. www.geeksforgeeks.org › minimum-hamming-distanceMinimum Hamming Distance - GeeksforGeeks

   www.geeksforgeeks.org › minimum-hamming-distance

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   Dec 27, 2023 · Learn the definition, calculation and significance of minimum hamming distance, a measure of comparing and correcting binary codes or data strings. Find examples, FAQs and related articles on hamming weight and hamming distance.

8. people.seas.harvard.edu › ~madhusudan › coursesHamming Codes, Distance, Examples, Limits, and Algorithms

   people.seas.harvard.edu › ~madhusudan › courses

   Every word is a codeword or within distance 1 of a codeword. 6 Generalized Hamming Code We now generalize the Hamming code to support di erent message and codeword lengths. Let n = 2‘ 1 be the desired codeword length. Construct the parity-check matrix H ‘ 2Fn ‘ 2 as before, with the ith row containing the binary representation of i + 1.

9. People also ask

   What is Hamming distance between two integers?

   • Definition: The Hamming distance between two integers is the number of positions at which the corresponding bits are different. It is not dependent on the actual values of xi and yi but only if they are equal to each other or not equal. Proposition: The function d is a metric. That is, for every x, y, z ∈ A N:

   Concepts of hamming distance - GeeksforGeeks

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   How to calculate Hamming distance?

   • Logically, the hamming distance can be expressed as the XOR operation of two codewords and result gives the no. of digits by which the codeword differs. E.g.: c1 ⊕ c2 ⇒ 0100 ⊕ 1111 ⇒ 1011. The XOR operator gives result 3 as there are three 1s obtained after XORing of 0s and 1s.

   Minimum Hamming Distance - GeeksforGeeks

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   What is Hamming distance used for?

   • Answer: It is used in error detection and correction in data transmission. Smaller the Minimum Hamming Distance, fewer the errors it can detect and correct. It is used in linear block coding for error detection. Q.3: What is the role of Hamming Weight in calculating Hamming Distance?

   Minimum Hamming Distance - GeeksforGeeks

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   What is the minimum Hamming distance?

   • 11011001 ⊕ 10011101 = 01000100. Since, this contains two 1s, the Hamming distance, d (11011001, 10011101) = 2. In a set of strings of equal lengths, the minimum Hamming distance is the smallest Hamming distance between all possible pairs of strings in that set. Suppose there are four strings 010, 011, 101 and 111. 010 ⊕ 011 = 001, d (010, 011) = 1.

   What is Hamming Distance? - Online Tutorials Library

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10. link.springer.com › referenceworkentry › 10Hamming Distance | SpringerLink

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    Hamming Distance is a metric of similarity between two bit strings, based on the number of disagreeing bits. It is used for iris recognition and other biometric applications, and can be computed quickly and efficiently.