Uniqueness of Optimal Mod 3 Polynomials for Parity
نویسندگان
چکیده
In this paper, we completely characterize the quadratic polynomials modulo 3 with the largest (hence “optimal”) correlation with parity. This result is obtained by analysis of the exponential sum
منابع مشابه
Uniqueness of Optimal Mod 3 Circuits for Parity
In this paper, we prove that the quadratic polynomials modulo 3 with the largest correlation with parity are unique up to permutation of variables and constant factors. As a consequence of our result, we completely characterize the smallest MAJ◦ MOD3 ◦ AND2 circuits that compute parity, where a MAJ ◦MOD3 ◦ AND2 circuit is one that has a majority gate as output, a middle layer of MOD3 gates and ...
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تاریخ انتشار 2009