Minimum distance of code calculator

1. How do you find the minimum distance of code?
2. How is minimum Hamming distance calculated?
3. What will be the Hamming distance between the codewords 001101 &Y =( 111110?
4. What is the Hamming distance between 001111 and 010011?

How do you find the minimum distance of code?

The minimum distance, or minimum weight, of a linear block code is defined as the smallest positive number of nonzero entries in any n-tuple that is a codeword. wt = gfweight(genmat) returns the minimum distance of the linear block code whose generator matrix is genmat .

How is minimum Hamming distance calculated?

'The minimum Hamming distance of a linear block code is equal to the minimum Hamming weight among its non-zero codewords'. (The Hamming weight of a codeword is simply the number of ones in it).

What will be the Hamming distance between the codewords 001101 &Y =( 111110?

Detailed Solution

Since the two codewords differ in 6 bit positions as indicated by bold letter bits, the hamming distance is 6.

What is the Hamming distance between 001111 and 010011?

The correct answer should be 3. In information technology studies, the Hamming distance in between two strings which are of equal length is defined by the number of positions at which their corresponding symbols are different.