Nnt Lat 23 -

The Number Theoretic Transform is the discrete Fourier transform (DFT) equivalent over a finite field Zqthe integers sub q A prime number where Root of Unity ( ): An element such that

Ak=∑j=0n−1aj⋅ωjk(modq)cap A sub k equals sum from j equals 0 to n minus 1 of a sub j center dot omega raised to the j k power space open paren mod space q close paren 3. Calculate Each Point For an input sequence A0cap A sub 0 : A1cap A sub 1 : A2cap A sub 2 : A3cap A sub 3 : (and so on). 4. Polynomial Multiplication Once transformed, you multiply the results point-wise: NnT Lat 23

If your query refers to a homework problem involving a small-scale NTT (e.g., ), here is how the transformation is performed: 1. Define the Parameters Select a prime modulus and a primitive -th root of unity , we might use is incorrect; rather is not right, let's use 2. Set Up the Transformation Formula The NTT of a sequence is defined as: The Number Theoretic Transform is the discrete Fourier