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Can there exist an algorithm Process quicker than Fast Fourier Transform to square a polynomial?for squares of polynomials

FFT is a quick algorithm for multiplying two polynomials, but given it's a square (i.e. multiplying the polynomial with itself) can we find something better? (I reached a paper by Jaewook Chung and M. Anwar Hussain, and then to something known as Toom-Cook algorithm, but can't find anymore claims)

Can there exist an algorithm quicker than Fast Fourier Transform to square a polynomial?

FFT is a quick algorithm for multiplying two polynomials, but given it's a square (i.e. multiplying the polynomial with itself) can we find something better? (I reached a paper by Jaewook Chung and M. Anwar Hussain, and then to something known as Toom-Cook algorithm, but can't find anymore claims)

Process quicker than Fourier for squares of polynomials

FFT is a quick algorithm for multiplying two polynomials, but given it's a square (i.e. multiplying the polynomial with itself) can we find something better?

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Can there exist an algorithm quicker than Fast Fourier Transform to square a polynomial?

FFT is a quick algorithm for multiplying two polynomials, but given it's a square (i.e. multiplying the polynomial with itself) can we find something better? (I reached a paper by Jaewook Chung and M. Anwar Hussain, and then to something known as Toom-Cook algorithm, but can't find anymore claims)