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G. Blelloch

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Preprint Aug 2026

Dynamic Entropy-Encoded Arrays in O(1) Time with Nearly Optimal Space

We show how to implement a dynamic array $A[1, n]$ with symbols from a fixed alphabet $\Sigma$, while supporting $O(1)$-time queries and updates, and using a total space of $$ \log \binom{|\Sigma|}{m} + \left(1 + O\left(\frac{\log \log n}{\log n}\right)\right) \cdot \left(\sum_{\sigma \in \Sigma} f_\sigma \log (n / f_\...

G. Blelloch, Yang Hu, William Kuszmaul et al. · 2 citations
Preprint Aug 2026

Optimal Time-Space Tradeoff for Dynamic Difference-Encoded Dictionaries

A dynamic dictionary is constructed that supports operations in $O(\log\varepsilon^{-1}/\log\log\varepsilon^{-1})$ expected amortized time and uses bits of space, and proves a matching lower bound, showing that the time-space tradeoff is optimal even in the \emph{static} case.

G. Blelloch, Yang Hu, William Kuszmaul et al. · 1 citation

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