Symmetric Polynomials over Zm and Simultaneous Communication Protocol
نویسندگان
چکیده
We study the problem of representing symmetric Boolean functions as symmetric polynomials over . We show an equivalence between such representations and simultaneous communication protocols. Computing a function with a polynomial of degree modulo is equivalent to a two player simultaneous protocol for computing where one player is given the first digits of the weight in base and the other is given the first digits of the weight in base . This reduces the problem of proving bounds on the degree of symmetric polynomials to proving bounds on simultaneous communication protocols. We use this equivalence to show lower bounds of "!$# on symmetric polynomials weakly representing classes of
منابع مشابه
Symmetric polynomials over Zm and simultaneous communication protocols
We study the problem of representing symmetric Boolean functions as symmetric polynomials over Zm. We show an equivalence between such representations and simultaneous communication protocols. Computing a function f on 0 1 inputs with a polynomial of degree d modulo pq is equivalent to a two player simultaneous protocol for computing f where one player is given the first dlogp de digits of the ...
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