Polynomial evaluation over finite fields: new algorithms and complexity bounds

Computer Science – Information Theory

Scientific paper

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accepted for publication in Applicable Algebra in Engineering, Communication and Computing. The final publication will be avai

Scientific paper

An efficient evaluation method is described for polynomials in finite fields.
Its complexity is shown to be lower than that of standard techniques when the
degree of the polynomial is large enough. Applications to the syndrome
computation in the decoding of Reed-Solomon codes are highlighted.

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