trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Sum-Free Functions with Different Code Dimensions

First-order sum-freedom on the ternary plane does not determine the dimension of the code obtained by adjoining function coordinates to Reed–Muller rows.

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THEOREM

Dimension independence is false

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Sum-Free Functions with Different Code DimensionsSum-Free Functions withDifferent Code DimensionsSum-Free Codes with Different Minimum WeightsSum-Free Codes with DifferentMinimum Weights
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/SumFreeCodeDimensionRefutation
Repository path
D5/S3/Arith/SumFreeCodeDimensionRefutation.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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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.