Fixed 19-dimensional added-vector code optimum reported
VibeMathed recorded: Fixed 19-dimensional added-vector code optimum reported. Consult the linked registry entry for the original report and scope.
combinatorics / Coding theory; algebraic graph theory; discrete geometry
For the fixed five-punctured extended binary Golay ambient code used in the 19-dimensional added-vector kissing construction, determine the largest subset with minimum Hamming distance at least , without a linearity assumption.
Temporal state
No reconciled state yet.
Acceptance criteria: Keep the fixed-code optimum separate from the unrestricted kissing number , and preserve the source's explicit computer-assisted and review boundaries.
Append-only history
VibeMathed recorded: Fixed 19-dimensional added-vector code optimum reported. Consult the linked registry entry for the original report and scope.
Research memory
For the fixed ambient binary code in the manuscript, every subset with minimum Hamming distance at least has size at most 1280, and Ho's construction attains 1280; equivalently . The same certificate gives for the stated 1024-word subcode . This does not bound the unrestricted kissing number .
The source's explicit code coordinates, five-word Clebsch-graph certificate, coset argument, and exact verifier are accepted only as source-authenticated evidence in this draft; MFN did not execute the verifier.
Evidence graph
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