trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Joint Error-and-Erasure Unique Decoding

A code of minimum distance d has a unique legal message whenever twice the unknown-error budget plus the known-erasure budget is below d.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

The joint error-and-erasure condition gives unique decoding

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Minimum-Distance Error DetectionMinimum-Distance ErrorDetectionJoint Error-and-Erasure Unique DecodingJoint Error-and-Erasure UniqueDecoding
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Certified topology / UPSTREAM

Prerequisites

Certified topology / DOWNSTREAM

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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/Coding/ErrorErasureUniqueDecoding
Repository path
D5/S3/Arith/Coding/ErrorErasureUniqueDecoding.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.