Cyclic Codes - IIT Bombay
Properties of Cyclic Codes (6) Theorem If g(X) is a polynomial of degree n k and is a factor of Xn +1, then g(X) generates an (n;k) cyclic code. Proof. Multiples of g(X) of degree n 1 or less generate a (n;k) linear block code. We need to show that the generated code is cyclic. For a code polynomial v(X) consider the following equation
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