A codeword polynomial is a mathematical representation used in coding theory to describe the relationship between the symbols of a codeword and their corresponding coefficients in a polynomial format. This polynomial encodes information by assigning a unique polynomial to each codeword, which helps facilitate efficient encoding and decoding processes in error-correcting codes like Reed-Solomon codes. The coefficients of the polynomial correspond to the symbols of the codeword, making it easier to perform algebraic operations on codewords during encoding and decoding.
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