Minimum Hamming Distance - Error Detection | dmin = s+1 | Data Communications Lecture
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In this tutorial, I have explained in Bangla the significance of Minimum Hamming Distance (MHD) in Error Detection by putting a great focus on the relationship between Minimum Hamming Distance and no. of errors to which we want to successfully detect the occurrence of error.
"If we want to successfully detect up to s errors then the minimum value of hamming distance in a set of code-words should be greater than s by 1 and that is d-min = s + 1" - the geometric representation of this fact has also been demonstrated here.
I have followed Page-261 & 262, Chapter 10: Error Detection and Correction from the book - Data Communications and Network, 5th Edition by Behrouz A. Forouzan.
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Minimum Hamming Distance in Error Detection
MHD in Error Detection
d-min = s + 1
d-min is greater than s
Geometric representation of Minimum Hamming Distance
If we want to detect up to s errors then Minimum Hamming Distance is s+1
Relation between Minimum Hamming Distance and no. of errrors
Relation between d-min and s
Explanation
CSE
Bangla
Minimum Hamming Distance
Data Communication
Communication theory
Communication
Telecommunication
Error Detection and Correction