The Delsarte LP for kissing numbers has no headroom in its degree (value stops moving by degree 14 in dimensions 3-24, rediscovering 6 and 10 for E8 and Leech), and the node-discretised sign condition is a relaxation sitting strictly below the true kissing number at every node count tested.
hunts/r_6f0f63 (Record 64 of 98 in chronological sequence)
Guiding Question
Where is the ceiling of the Delsarte LP parameterisation for kissing numbers, and is the acceptance step of the standard node-discretised implementation sound?
Method & Verification
E8 and Leech certificates were rebuilt from contact structure rather than printed coefficients, five planted faults were fired first, then degree 1-30 was swept in dimensions 3-24 and the node-set discretisation was scored against the exact kissing numbers 240 and 196560.
Lineage & Relationships
Primary Sources (at pin 8fa46e134)
Editorial Notes
Case-log status is probe, complete; handback status is settled. Disposition maps to completed. Float grade throughout, no ball arithmetic. Cohn-Elkies SDP half was not attempted. Soundness number to lean on: 196505.76 at 600 nodes in dimension 24 against exact 196560.
Date Provenance
commit 156c85ae554d34ce7c50a57de90fc2ac4fb23d0e, hunts/r_6f0f63/RESULTS.md, author 2026-08-23T17:16:30-05:00