Combinatorics / CONCEPT
Three-row cyclic source family at half-modulus capacity
An explicit infinite three-row centered source family admits complete physical-label orders at the original half-modulus strip.
Closed
DIRECT PREREQUISITES5
DIRECT CONSEQUENCES3
PROOF DEPTH3
DOCUMENT LINKS0
A complete order for every J,m,d and cyclic shift
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- A sharp three-parent source familytruth-dependency · Closed
- A universal support width for centered circle sourcestruth-dependency · Closed
- Actual two-run sources, genuine periods and physical repetitionstruth-dependency · Closed
- Arithmetic gates for the attained three-row masktruth-dependency · Closed
- Attained masks on all physical row labelstruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- A sharp three-parent source familystructural-affinity · Closed
- A universal support width for centered circle sourcesstructural-affinity · Closed
- Actual two-run sources, genuine periods and physical repetitionsstructural-affinity · Closed
- An unbounded obstruction forces mixed SMALL/LARGE insertionstructural-affinity · Closed
- Arithmetic gates for the attained three-row maskstructural-affinity · Closed
- At most two fresh labels augment every native legal wordstructural-affinity · Closed
- Attained masks on all physical row labelsstructural-affinity · Closed
- Combinatorics: Sourcestructural-affinity · Closed
- Coupled allocation from least-fresh ownershipstructural-affinity · Closed
- Exact labelled dyadic allocationstructural-affinity · Closed
- Physical multiplicities and low-denomination budgetsstructural-affinity · Closed
- Physical source and prefix supportstructural-affinity · Closed
- Restricted halfpower source rigiditystructural-affinity · Closed
- The native repeated one-bit source and its exact stripstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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