Sư Phạm Kỹ Thuật TP. Hồ Chí Minh

ABSTRACT

In field K, given two polynomials: a(x) =  ∑ _0≤i<n a_ixⁱ; b(x) =  ∑ _0≤i<n b_ixⁱ and m(x) = xn – 1. This paper presents a computational algorithm for polynomial multiplication:u(x) ≡ a(x)b(x) mod m(x) = ∑ _0≤i<n u_ixⁱ.The coefficients (ui)_0≤i<n are determined based on convolution and using the Chinese remainder theorem.

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