trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Unique Decoding Radius

A minimum-distance code has a unique nearby codeword below half the minimum distance, including the canonical integral correction radius.

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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

Minimum distance gives the unique decoding radius

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Minimum-Distance Error DetectionMinimum-Distance ErrorDetectionUnique Decoding RadiusUnique Decoding RadiusOracle Intervention-Law Error DetectionOracle Intervention-Law ErrorDetection
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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/Coding/UniqueDecodingRadius
Repository path
D5/S3/Arith/Coding/UniqueDecodingRadius.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.