Calculate the Hamming pairwise distance among the following codewords and find the minimum Hamming distance. Then analysis the capability of the codewords: a) 00000, 10101, 01010 b) 000000, 010101, 101010, 110110

Respuesta :

Based on the given codewords, and the Hamming pairwise distances, the minimum hamming distance for the parts are:

  • a. 2
  • b. 3

What are the Hamming pairwise distances?

The hamming distance for part A:

a.. 00000 - 10101 = 3

b. 00000 - 01010 = 2

c. 10101 - 01010 = 5

The minimum hamming distance seen is 2.

A short way to find the distance is to count the number of 1s.

For part B, the hamming distances are:

a. 000000 - 010101 = 3

b. 000000 - 101010 = 3

c.  000000 - 110110 = 4

d. 010101 - 101010 = 6

e. 010101 -  110110 = 3

f. I101010 - 110110 = 3

We can therefore see that the minimum hamming distance is 3.

Find out more on pairwise combinations at https://brainly.com/question/15083704.

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