Optimal testing of reed-muller codes
Webquery test for this task. In this work we give an improved, asymptotically optimal, analysis of their test. Below we describe the problem, its context, our results and some implications. … Web1.1 Reed-Muller Codes and Testing The Reed-Muller codes are parameterized by two parameters: nthe number of variables and dthe degree parameter. The Reed-Muller …
Optimal testing of reed-muller codes
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WebOptimal Testing of Reed-Muller Codes Abstract: We consider the problem of testing if a given function f:F 2 n → F 2 is close to any degree d polynomial in n variables, also known … WebOver a finite field ${\mathbb{F}}_q$ the (n,d,q)-Reed-Muller code is the code given by evaluations of n-variate polynomials of total degree at most d on all points (of... A New Upper Bound on the Query Complexity for Testing Generalized Reed-Muller codes …
Weboptimal testing degree polynomial reed-muller code rejection probability 1-query test improved analysis maximal correlation proof work new relationship optimal analysis test showing inverse conjecture classical blum-luby-rubinfeld blr93 linearity test new analysis reed-muller testing problem st-gowers norm WebOptimal Testing of Reed-Muller Codes Abstract: We consider the problem of testing if a given function f:F 2 n → F 2 is close to any degree d polynomial in n variables, also known as the Reed-Muller testing problem. Alon et al. [1] proposed and analyzed a natural 2 d+1 -query test for this problem.
WebOct 4, 2009 · Alon et al. [AKK+05] proposed and analyzed a natural 2d + 1-query test T 0, and showed that it accepts every degree d polynomial with probability 1, while rejecting … WebWe consider the problem of testing if a given function f : double-struck F 2 n → double-struck F 2 is close to any degree d polynomial in n variables, also known as the Reed-Muller testing problem. Alon et al. [1] proposed and analyzed a natural 2 d+1-query test for this problem.This test turned out to be intimately related to the Gowers norm.
WebOur question is also called testing of Reed-Muller codes, which are codes based on low-degree polynomials. The Reed-Muller codes are parameterized by two parameters: n, the … how many coil packs are in a v8WebWe study affine cartesian codes, which are a Reed-Muller type of evaluation codes, where polynomials are evaluated at the cartesian product of n subsets of a f 掌桥科研 一站式科研服务平台 how many cohiba cigars in a boxWebThis leads to a O(d 4 d)-query test for degree d Reed-Muller codes. We give an asymptotically optimal analysis of T 0, showing that it rejects functions that are Ω(1)-far … how many coils does a slinky haveWeb1.5.1 Optimal Testing of Reed-Muller Codes via Global Hypercontractivity In [31], the authors relate the analysis of the t-flat tester of the Reed-Muller code to expansion properties of the affine Grassmann graph. Here, the affine Grassmann graph is the graph whose vertex set is the set of all t-flats in Fn how many cognates are there in spanishWebWe consider the problem of testing if a given function $f : \\F_2^n \\right arrow \\F_2$ is close to any degree $d$ polynomial in $n$ variables, also known as the ... how many cohosts did regis philbin haveWebOur methods are more general and also allow us to prove that a wide class of testers, which follow the form of the Ron-Zewi and Sudan tester, are optimal. This result applies to testers for all affine-invariant codes (which are not necessarily generalized Reed-Muller codes). how many coils in a slinkyWebOur methods are more general and also allow us to prove that a wide class of testers, which follow the form of the Ron-Zewi and Sudan tester, are optimal. This result applies to … high school population by state