Published June 22, 2026 | Version v1

CoveringCodes Lean K_9(9,5) syndrome tail repair table

Authors/Creators

Description

This dataset contains the generated syndrome tail repair table used by the Lean formalization of the covering-code upper bound K_9(9,5) <= 729 in the covering-codes-lean repository. The table stores one three-coordinate tail choice for each of the 9^6 syndromes of a systematic linear nonary code with three free coordinates and six parity-check equations. The main Lean proof uses this table to verify that every syndrome has a correction of support at most five.

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Additional details

Software

Repository URL
https://github.com/florath/covering-codes-lean
Programming language
Lean
Development Status
Active