c++ - Faster evaluation of modular polynomials -

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a polynomial defined such of coefficients given less prime number p. wish evaluate polynomial @ point mod p. simple approach be;

 int sum=arr[n],j=n-1;//sum polynomial value mod p @ point , arr[] coefficient array , k point @ polynomial evaluated     while(j>=0)     {        sum = ((sum*k)%p + arr[j])%p;        j--;     }

but property exist regarding such polynomials such above approach optimized further (lesser time complexity)?


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