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Electronic Colloquium on Computational Complexity

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REPORTS > AUTHORS > FLORIAN RICHTER:
All reports by Author Florian Richter:

TR26-049 | 7th April 2026
Mika Göös, Nathaniel Harms, Florian Richter, Anastasia Sofronova

No Constant-Cost Protocol for Point–Line Incidence

Alice and Bob are given $n$-bit integer pairs $(x,y)$ and $(a,b)$, respectively, and they must decide if $y=ax+b$. We prove that the randomised communication complexity of this Point–Line Incidence problem is $\Theta(\log n)$. This confirms a conjecture of Cheung, Hatami, Hosseini, and Shirley (CCC 2023) that the complexity is super-constant, ... more >>>




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