Welcome to the error correction zoo

Classical Domain

  • Binary Kingdom: Binary code, Convolutional code, Fountain code, …
  • Galois-field Kingdom: Galois-field \(q\)-ary code, Algebraic-geometry (AG) code, Evaluation AG code, …
  • Matrix Kingdom: Matrix code, …
  • Lattice Kingdom: Lattice-based code.
  • Spherical Kingdom: Spherical code.
  • Ring Kingdom: Ring code, …
  • Group Kingdom: Group-based code, …

Quantum Domain

  • Qubit Kingdom: Qubit code, Codeword stabilized (CWS) code, Movassagh-Ouyang Hamiltonian code, …
  • Modular-qudit Kingdom: Modular-qudit code, Modular-qudit stabilizer code, Double-semion code, …
  • Galois-qudit Kingdom: Galois-qudit code, …
  • Bosonic Kingdom: Bosonic code, …
  • Fermionic Kingdom: Fermionic code, …
  • Spin Kingdom: Spin code, …
  • Group Kingdom: Group-based quantum code, …
  • Category Kingdom: Category-based quantum code, …

Home Page

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Stats at a glance: 225 code entries, 15 kingdoms, 2 domains, 49 classical codes, 108 quantum codes, 68 abstract property codes, 24 topological codes, 31 CSS codes, 40 quantum LDPC codes, and 19 bosonic codes.
Error correction zoo by Victor V. Albert, Philippe Faist, and many contributors.