396 views
0 votes
0 votes
A Hamming code can correct all combinations of 𝑘 or fewer errors if and only if the minimum distance between any two code words is at least:

(a) 𝑘 + 1

(b) 𝑘 − 1

(c) 2𝑘 + 1

(d) 2𝑘 − 1

1 Answer

1 votes
1 votes

Answer: Option C) $2k+1$

To guarantee correction of up to $t$ errors in any case, the minimum Hamming distance in a block code must be $d_{min} = 2t + 1$

To guarantee error detection up to $t$ errors, the minimum distance between the valid codes must be $t+1$ , so that the received codeword does not match a valid codeword.

Related questions

0 votes
0 votes
1 answer
1
1 votes
1 votes
1 answer
2
amiteshKeshari asked Oct 23, 2023
619 views
In a Class C network,if subnet mask is 255.255.255.244 then how many number of host in each subnet?
0 votes
0 votes
0 answers
3
54Y4N asked Oct 9, 2023
214 views
A 1 kilometer long CSMA/CD (not 802.3) has a propagation speed of 200m/ìsec. Repeaters are not allowed in this system Data frames are 256 bits long, including 32 bits of...