Let Fq be the finite field of order q and be an element of Fq of order d. The construction of an explicit polynomial f (X) Fq[X] of degree d - 1 with the property f i = i2 for ...
We construct an explicit polynomial f(x1, . . . , xn), with coefficients in {0, 1}, such that the size of any syntactically multilinear arithmetic circuit computing f is at least ...