Linear Cyclic Q — Ary Codes
In general, the polynomial whose coefficients are a single right shift of the coefficients of C(z) is z C(z). If C(z) is a polynomial of degree less than n, interpreted as an n-dimensional vector, then the right cyclic shift of C(z) must have Cn−1 as the coefficient of z° and Ci−1 as the coefficient of zi for i = 1, 2,..., n−1. The polynomial which represents the right cyclic shift of C(z) is therefore zC(z) mod, zn−1.
KeywordsLinear Code Parity Check Cyclic Code Generator Polynomial Parity Check Matrix
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