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Quoted By: >>1065192
I have these questions for a decryption test but i know nothing on decryption, can someone help? The questions : We define f: B3 B7 by f(w) = wwx, where
• x is 1 if the number of 1’s in w is even
• x is 0 if the number of 1’s in w is odd
List the elements of B3 [Hint: one of them is 011]
Use the rule f defined above to list the elements of the code in B7 [Further hint: one of these is 0110111]
If possible find the generator matrix G in this case.
[Tip: use the rules of matrix multiplication to check that your generator matrix has the correct dimensions]
If it is not possible explain why not.
Does f define a linear code?
What types of errors can it detect and correct?
• x is 1 if the number of 1’s in w is even
• x is 0 if the number of 1’s in w is odd
List the elements of B3 [Hint: one of them is 011]
Use the rule f defined above to list the elements of the code in B7 [Further hint: one of these is 0110111]
If possible find the generator matrix G in this case.
[Tip: use the rules of matrix multiplication to check that your generator matrix has the correct dimensions]
If it is not possible explain why not.
Does f define a linear code?
What types of errors can it detect and correct?
