1,466 views
3 votes
3 votes
find the status of the following generators related to two isolated, single bit errors.

a.) x+1

b,) x^4+1

c) x^7+x^6+1

d) x^15+x^14+1

please explain this with examples in detail

1 Answer

0 votes
0 votes
a. This is a very poor choice for a generator. Any two errors next to each other cannot be detected.
b. This generator cannot detect two errors that are four positions apart.
c. This is a good choice for this purpose.
d. This polynomial cannot divide xt + 1 if t is less than 32,768. A codeword with two isolated errors up to 32,768 bits apart can be detected by this generator.

Related questions

1 votes
1 votes
1 answer
2
rahuldb asked Nov 6, 2016
2,985 views
The codeword is of length 7.Calculate the codeword C and remainder R.Please answer with working
1 votes
1 votes
0 answers
3
Sanjay Sharma asked Nov 6, 2016
570 views
For a given generator polynomial g(x) =1+x+x2i)Find the generator matrix G for a symmetric (7,4) cyclic code ii)Find systematic cyclic code for message bits 1010
0 votes
0 votes
2 answers
4
Manpreet Saluja asked Oct 31, 2022
427 views
CRC