trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Full CRT Dynamic Range Has No Correction Margin

Using the full CRT product gives exact distance one, with the degenerate boundaries and the role of full capacity made explicit.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH2
DOCUMENT LINKS1
THEOREM

Maximum distance is controlled by the first modulus

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Exact Residue-Code Minimum DistanceExact Residue-Code MinimumDistanceDynamic Range and Minimum Distance of Residue CodesDynamic Range and MinimumDistance of Residue CodesFull CRT Dynamic Range Has No Correction MarginFull CRT Dynamic Range Has NoCorrection MarginFull CRT Blind Count and DistanceFull CRT Blind Count andDistance
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Lean sourceResearch workspace
Status
Closed
Depth
2
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/Coding/FullCRTDynamicRangeNoCorrectionMargin
Repository path
D5/S3/Arith/Coding/FullCRTDynamicRangeNoCorrectionMargin.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.