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Find an upper bound and lower bound for the following linear codes of


length n=15 and d=5

Find the distance of the linear code C with the given generator matrix


G=1 1 1 0 0 0 0 0 00 0 0 1 1 1 0 0 01 1 1 1 1 1 1 1 1

Find the generator matrix for C andC where H=100100010001010001

Find the basis for the dual code for C=<S>, for


S=11000,01111,11110,01010

Find the basis for the C=<S> ,for S={010,011,111}

For the code C={00000,11000,00011,11011},determine the error pattern 

that C will correct.


Let p=0.9.n=3,C={000,111}.

If v=000 is sent ,find the probability that IMLD will correctly conclude this 

after one transmission.


Find the code generated by S={0100,0011,1010}

Find the distance of C={1000,0101,1110,1111}


Let C be the code consisting of all words of length 4 which have even 

weight .Find the error patterns C detects.


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