Depth-13 Sorting Networks for 28 Channels

November 06, 2025 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Chengu Wang arXiv ID 2511.04107 Category cs.DS: Data Structures & Algorithms Cross-listed cs.DM Citations 0 Venue arXiv.org Last Checked 4 months ago
Abstract
We establish new depth upper bounds for sorting networks on 27 and 28 channels, improving the previous best bound of 14 to 13. Our 28-channel network is constructed with reflectional symmetry by combining high-quality prefixes of 16- and 12-channel networks, extending them greedily one comparator at a time, and using a SAT solver to complete the remaining layers.
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