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arXiv · 2508.21602

Condense to Conduct and Conduct to Condense

Tomasz Kazana
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Abstract

In this paper, we present the first explicit examples of low-conductance permutations. The notion of conductance of permutations was introduced by Dodis et al. in "Indifferentiability of Confusion-Diffusion Networks", where the search for low-conductance permutations was first initiated and motivated. As part of our contribution, we not only provide these examples, but also offer a general characterization of the problem: we show that low-conductance permutations are equivalent to permutations possessing the information-theoretic properties of Multi-Source-Somewhere-Condensers, a specific variant of somewhere condensers.

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Tomasz Kazana. 2026-09-07. Condense to Conduct and Conduct to Condense. https://arxiv.org/abs/2508.21602

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