Depth-13 Sorting Networks for 28 Channels
November 06, 2025 Β· Declared Dead Β· π 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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