LLM-generated search heuristics run through the CPro1 protocol with the reasoning model o3-mini-high produced verified constructions resolving open instances in 7 Handbook design families and newer problems.
New Difference Triangle Sets by an FPGA-Based Search Technique
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We provide some difference triangle sets with scopes that improve upon the best known values. These are found with purpose-built digital circuits realized with field-programmable gate arrays (FPGAs) rather than software algorithms running on general-purpose processors.
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Using Reasoning Models to Generate Search Heuristics that Solve Open Instances of Combinatorial Design Problems
LLM-generated search heuristics run through the CPro1 protocol with the reasoning model o3-mini-high produced verified constructions resolving open instances in 7 Handbook design families and newer problems.