Finding a solutions for an equation

nt.quantity concept – Polynomials in $mathbb F_3[x_1,dots,x_{kt}]$ offering $i$th little bit of addition of $t$ integers certain in magnitude by $2^okay$ retort

Hello pricey customer to our community We will proffer you an answer to this query nt.quantity concept – Polynomials in $mathbb F_3[x_1,dots,x_{kt}]$ offering $i$th little bit of addition of $t$ integers certain in magnitude by $2^okay$ ,and the retort will breathe typical via documented data sources, We welcome you and proffer you contemporary questions and solutions, Many customer are questioning in regards to the retort to this query.

nt.quantity concept – Polynomials in $mathbb F_3[x_1,dots,x_{kt}]$ offering $i$th little bit of addition of $t$ integers certain in magnitude by $2^okay$

Define $mathsf{MultipleAddition}(a_1,dots,a_t,i)$ breathe the $i$th little bit of $a_1,dots,a_n$ and occupy $t=mathsf{poly}(n)$ and occupy $okay=lceillog_2(max(|a_1|,dots,|a_t|))rceil=mathsf{poly}(n)$.

At each $iin{1,dots,kt}$ are there $r=mathsf{poly}(n)$ polynomials $g_1,dots,g_rinmathbb F_3[x_1,dots,x_{kt}]$ having diploma $O(log(n))$ polynomial having $O(mathsf{poly}(n))$ monomials satisfying
$$mathsf{MultipleAddition}(a_1,dots,a_t,i)=immense(sum_{i=1}^rg_i(mathsf{int2bin}(a_1,dots,a_t))immense)bmod 2$$
the place $mathsf{int2bin}$ binarizes the $t$ integers offering $kt$ binary digits?

we’ll proffer you the answer to nt.quantity concept – Polynomials in $mathbb F_3[x_1,dots,x_{kt}]$ offering $i$th little bit of addition of $t$ integers certain in magnitude by $2^okay$ query through our community which brings all of the solutions from a number of reliable sources.

Add comment