# ass310 - Copy - n = 9 a What is the dimension oF this code...

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Department of Electrical and Computer Engineering ELEC 511 Error Control Coding Techniques in Communications 2010 Assignment 3 1. Consider the code generated by the vectors 11000 , 01111 , 11110 , 01010 . Show that this code is cyclic and fnd its generator polynomial. 2. Wicker, Chapter 5, Problem 1 3. Wicker, Chapter 5, Problem 2 4. Wicker, Chapter 5, Problem 3 5. Wicker, Chapter 5, Problem 4 (b),(d) 6. Wicker, Chapter 5, Problem 5 (b),(d) 7. Wicker, Chapter 5, Problem 6 (b),(d) 8. The polynomial g ( x ) = 1 + x 3 + x 6 is the generator polynomial For a cyclic code over G±(2) with blocklength
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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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