Exercise 226 Which pairs of codes in Exercise 220 sum to the code F83? Which pairs of codes in that example have intersection {0}? Exercise 219 Verify the entries in the table in Example 4.3.5. Exercise 220 Find the generator polynomials and generating idempotents of all cyclic codes over F3 of length 8 and dimensions 3 and 5. Exercise 221 Let (r)-

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Exercise 226 Which pairs of codes in Exercise 220 sum to the code F83? Which pairs of codes in that example have intersection {0}?

C?nC6, C? C3, C? C4, C? nC5, C3 C4, and C3 C5.
Exercise 226 Which pairs of codes in Exercise 220 sum to the code F3? Which pa

Exercise 219 Verify the entries in the table in Example 4.3.5. Exercise 220 Find the generator polynomials and generating idempotents of all cyclic codes over F3 of length 8 and dimensions 3 and 5. Exercise 221 Let (r)-1. +-1 in R and i(r) (1/n)i(x) C?nC6, C? C3, C? C4, C? nC5, C3 C4, and C3 C5. Exercise 226 Which pairs of codes in Exercise 220 sum to the code F3? Which pairs of codes in that example have intersection {0}? Exercise 227 If C, is a cyclic code with generator polynomial g, (x) and generating idem-

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