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ACM Transactions on

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Constant-Error Pseudorandomness Proofs from Hardness Require Majority

Research in the 1980s and 1990s showed how to construct a pseudorandom generator from a function that is hard to compute on more than 99% of the... (more)

On Minrank and Forbidden Subgraphs

The minrank over a field F of a graph G on the vertex set { 1,2,… ,n} is the minimum possible rank of a matrix M ∈ Fn × n such that Mi, i ≠ 0 for every i, and Mi, j =0 for every distinct non-adjacent vertices i and j in G. For an integer n, a graph H, and a field F, let g(n,H, F) denote the maximum possible... (more)

Bounded Independence versus Symmetric Tests

For a test T ⊆ {0, 1}n, define k*(T) to be the maximum k such that there exists a k-wise uniform distribution over {0, 1}n whose support is a subset of T. For Ht = {x ∈ {0, 1}n : | ∑ixi − n/2| ≤ t}, we prove k*(Ht) = Θ (t2/n + 1). For Sm, c... (more)

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About TOCT

The ACM Transactions on Computation Theory (TOCT) is a peer-reviewed journal that explores the mathematical nature of computation and it's theoretical limitations (with an emphasis on computational complexity, foundations of cryptography and other computation-based topics in theoretical computer science).

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Forthcoming Articles

Representations of Monotone Boolean Functions by Linear Programs

Approximating Pairwise Correlations in the Ising Model

Tolerant Junta Testing and the Connection to Submodular Optimization and Function Isomorphism

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