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 Post subject: error correctionPosted: Sat, 15 Jan 2011 16:59:13 UTC
 S.O.S. Newbie

Joined: Sat, 15 Jan 2011 16:57:00 UTC
Posts: 1
hello,

I'm new to this forum and I hope you'll be able to help me.

1. The polynomial f(x)=x^6+3x^5+x^4+x^3+2x^2+2x+1 generates a cyclic code of length 15 on F_4. Find a systematic matrix of that code.

2. Find the generator polynomial and the minimal distances of the cyclic codes of length 6.

3. Let C be a linear code on F_3 whose generator matrix is
1 1 1 0
2 0 1 1
Decode the words 1212, 2102, 1111.

Thanks.

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