Unformatted text preview: n = 9. a) What is the dimension oF this code? b) What is the minimum distance oF this code? 9. ±actor x 8-1 over G±(3). How many cyclic codes oF blocklength 8 are there? 10. Let g ( x ) be the generator polynomial oF a binary cyclic code oF length n . a) Show that iF g ( x ) has x + 1 as a Factor, the code contains no codewords oF odd weight. b) IF n is odd and x + 1 is not a Factor oF g ( x ), show that the code contains the all ones codeword. 1...
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- Spring '10
- Electromagnet, Coding theory, Department of Electrical and Computer Engineering, generator polynomial