A Lean 4 / Mathlib project formalizing subjects related to ;linear error correcting codes:
ErrorCorrection/— linear error-correcting codes ([n, k, d]_q), Hadamard and Hamming code constructions, and "chromotopology": the graph structure (vertices colored,Ndifferently colored edges per vertex, disjoint 4-cycles per color pair) obtained by quotientingF_q^nby a suitable code's coordinate-shift action.Supersymmetric/— Lie1 | N-dimensional superalgebras. The Adinkraic representations thereof are import the concepts from theErrorCorrectionportion.QuantumErrorCorrection/— the generalized Pauli and Clifford groups on finite sets of qudits, and quasi-local*-algebras (nets of local algebras over regions, with isotony and disjoint super-commutation) built from their group algebras.
See each directory's README for details on its files.