Arith / CONCEPT
Dynamic Range and Minimum Distance of Residue Codes
For an ordered coprime residue system, the protected message range is determined exactly by the product of its smallest moduli.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES5
PROOF DEPTH0
DOCUMENT LINKS1
Maximum dynamic range is equivalent to the minimum-distance bound
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
None recorded in this release.
Certified topology / DOWNSTREAM
Consequences
- Arbitrary Coordinate Erasure Criteriontruth-dependency · Closed
- Arbitrary Error Correction Capacitytruth-dependency · Closed
- Exact Residue-Code Minimum Distancetruth-dependency · Closed
- Full CRT Dynamic Range Has No Correction Margintruth-dependency · Closed
- Prime Observation Depth and Geometrytruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- Arbitrary Coordinate Erasure Criterionstructural-affinity · Closed
- Arbitrary Error Correction Capacitystructural-affinity · Closed
- Exact Residue-Code Minimum Distancestructural-affinity · Closed
- Finite Prime Information Budgetstructural-affinity · Closed
- Full CRT Blind Count and Distancestructural-affinity · Closed
- Full CRT Dynamic Range Has No Correction Marginstructural-affinity · Closed
- Horizontal Completeness Depthstructural-affinity · Closed
- Prime Observation Depth and Geometrystructural-affinity · Closed
- Retained Residue Recovery Criterionstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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