Arith / CONCEPT
The seventh original row and conditional capacities
The original seventh row is x+8y=0 modulo 11. Its removal leaves exactly ten elevenths of every selected union of six-row kernel cosets. The corresponding capacity factor is ten elevenths for all tail rows except the parallel rows labelled 199 and 2377.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH5
DOCUMENT LINKS1
Exact density and compatible original-row bound
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- A uniform positive hole bound for the original 252 rowsstructural-affinity · Closed
- Conditional capacity after six original rowsstructural-affinity · Closed
- Exact original-row restrictionsstructural-affinity · Closed
- One common phase normalizationstructural-affinity · Closed
- Original base lattices and full-period geometrystructural-affinity · Closed
- Sound certificates for original-residue capacitiesstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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