Question: 7. A linear code of length n with complementary code (LCD) over F, is a linear code C satisfying Cnct = {0}. (F2 is a

7. A linear code of length n with complementary code (LCD)

7. A linear code of length n with complementary code (LCD) over F, is a linear code C satisfying Cnct = {0}. (F2 is a field with 2 elements.) (a) (5 pts) Show that C is LCD if and only if F= Cech. Ca-clo (b) (5 pts) Construct a (4,2. 2) LCD code. (c) (5 pts) Is there a (5.2, 3] LCD code? mu 7. A linear code of length n with complementary code (LCD) over F, is a linear code C satisfying Cnct = {0}. (F2 is a field with 2 elements.) (a) (5 pts) Show that C is LCD if and only if F= Cech. Ca-clo (b) (5 pts) Construct a (4,2. 2) LCD code. (c) (5 pts) Is there a (5.2, 3] LCD code? mu

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