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Structure of Protocols for XOR Functions

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01263419openalex-snapshot
On the degree of boolean functions as real polynomials
inferredcites →https://doi.org/10.1007/s00037-015-0110-yopenalex-snapshot
On the Structure of Boolean Functions with Small Spectral Norm
inferredcites →https://doi.org/10.1007/s00039-010-0101-8openalex-snapshot
A Probabilistic Technique for Finding Almost-Periods of Convolutions
inferredcites →https://doi.org/10.1016/0022-0000(93)90035-uopenalex-snapshot
Communication complexity and combinatorial lattice theory
inferredcites →https://doi.org/10.1016/j.tcs.2010.03.027openalex-snapshot
On the parity complexity measures of Boolean functions
inferredcites →https://doi.org/10.1017/fms.2016.2openalex-snapshot
ROTH’S THEOREM FOR FOUR VARIABLES AND ADDITIVE STRUCTURES IN SUMS OF SPARSE SETS
inferredcites →https://doi.org/10.1017/s0963548313000060openalex-snapshot
Arithmetic Progressions in Sumsets and Lp-Almost-Periodicity
inferredcites →https://doi.org/10.1137/080733644openalex-snapshot
The Pattern Matrix Method
inferredcites →https://doi.org/10.1137/1.9781611973402.136openalex-snapshot
Efficient quantum protocols for XOR functions
inferredcites →https://doi.org/10.1137/100785429openalex-snapshot
Testing Fourier Dimensionality and Sparsity
inferredcites →https://doi.org/10.2140/apde.2012.5.627openalex-snapshot
On the Bogolyubov–Ruzsa lemma

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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A Generalization of a Theorem of Rothschild and van Lint
inferred← citeshttps://doi.org/10.1007/s00037-018-0175-5openalex-snapshot
Query-to-Communication Lifting for PNP
inferred← citeshttps://doi.org/10.1007/s00037-019-00190-7openalex-snapshot
Simulation Theorems via Pseudo-random Properties
inferred← citeshttps://doi.org/10.1007/s00037-024-00250-7openalex-snapshot
KRW Composition Theorems via Lifting
inferred← citeshttps://doi.org/10.1007/s00037-025-00276-5openalex-snapshot
Lifting Dichotomies
inferred← citeshttps://doi.org/10.1007/s11856-022-2365-8openalex-snapshot
Dimension-free bounds and structural results in communication complexity
inferred← citeshttps://doi.org/10.1016/j.tcs.2023.113802openalex-snapshot
A generalization of a theorem of Rothschild and van Lint
inferred← citeshttps://doi.org/10.1109/focs.2017.21openalex-snapshot
Query-to-Communication Lifting for BPP
inferred← citeshttps://doi.org/10.1109/focs.2018.00014openalex-snapshot
A Short List of Equalities Induces Large Sign Rank
inferred← citeshttps://doi.org/10.1109/focs54457.2022.00113openalex-snapshot
Nearly Optimal Communication and Query Complexity of Bipartite Matching
inferred← citeshttps://doi.org/10.1109/focs57990.2023.00047openalex-snapshot
Fourier Growth of Communication Protocols for XOR Functions
inferred← citeshttps://doi.org/10.1109/focs57990.2023.00059openalex-snapshot
Strong Bounds for 3-Progressions
inferred← citeshttps://doi.org/10.1134/s0032946021020046openalex-snapshot
Counting the Number of Perfect Matchings, and Generalized Decision Trees
inferred← citeshttps://doi.org/10.1137/19m1271348openalex-snapshot
A Short List of Equalities Induces Large Sign-Rank
inferred← citeshttps://doi.org/10.1137/19m1310153openalex-snapshot
Query-to-Communication Lifting Using Low-Discrepancy Gadgets
inferred← citeshttps://doi.org/10.1145/3313276.3316353openalex-snapshot
The Log-Approximate-Rank Conjecture Is False
inferred← citeshttps://doi.org/10.1145/3406325.3450999openalex-snapshot
Log-rank and lifting for AND-functions
inferred← citeshttps://doi.org/10.1145/3471469.3471478openalex-snapshot
SIGACT News Complexity Theory Column 109
inferred← citeshttps://doi.org/10.1145/3471469.3471479openalex-snapshot
Guest Column
inferred← citeshttps://doi.org/10.1145/3647629openalex-snapshot
On parity decision trees for Fourier-sparse Boolean functions
inferred← citeshttps://doi.org/10.25148/etd.fidc010235openalex-snapshot
A Study of Sparse Representation of Boolean Functions
inferred← citeshttps://doi.org/10.4086/toc.2019.v015a011openalex-snapshot
inferred← citeshttps://doi.org/10.4230/lipics.approx-random.2019.69openalex-snapshot
Approximate F_2-Sketching of Valuation Functions
inferred← citeshttps://doi.org/10.4230/lipics.ccc.2023.9openalex-snapshot
Fourier Growth of Parity Decision Trees
inferred← citeshttps://doi.org/10.4230/lipics.fsttcs.2020.29openalex-snapshot
On Parity Decision Trees for Fourier-Sparse Boolean Functions
inferred← citeshttps://doi.org/10.48550/arxiv.2009.02717openalex-snapshot
Towards Stronger Counterexamples to the Log-Approximate-Rank Conjecture
inferred← citeshttps://doi.org/10.48550/arxiv.2103.16811openalex-snapshot
A Generalization of a Theorem of Rothschild and van Lint
inferred← citeshttps://doi.org/10.48550/arxiv.2107.05810openalex-snapshot
The Element Extraction Problem and the Cost of Determinism and Limited Adaptivity in Linear Queries
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