Classical Domain

It has been only in the past two or three years that the theory of error-correcting codes has advanced sufficiently to provide the basis for practical systems. Computer technology also has continued to advance, decreasing the cost and increasing the speed of equipment used to implement error correction. At the same time, there is a growing need for communication channels of extreme reliability for computers and automatic control systems. As the need grows and as coding theory and computer technology continue to develop, error detection and error correction will play an essential role in the success of complex systems.
W. Wesley Peterson, 1962

Welcome to the Classical Domain

Codes for communication over classical channels

Kingdoms:

  • Binary Kingdom (106 codes)
  • Galois-field Kingdom (130 codes)
  • Matrix Kingdom (38 codes)
  • Analog Kingdom (35 codes)
  • Spherical Kingdom (59 codes)
  • Ring Kingdom (24 codes)
  • Group Kingdom (9 codes)
  • Homogeneous-space Kingdom (11 codes)
  • Home
  • Code graph
  • Code lists
  • Concepts glossary
  • Search

Classical Domain

  • Binary Kingdom
  • Galois-field Kingdom
  • Matrix Kingdom
  • Analog Kingdom
  • Spherical Kingdom
  • Ring Kingdom
  • Group Kingdom
  • Homogeneous-space Kingdom

Quantum Domain

  • Qubit Kingdom
  • Modular-qudit Kingdom
  • Galois-qudit Kingdom
  • Bosonic Kingdom
  • Spin Kingdom
  • Group quantum Kingdom
  • Homogeneous-space quantum Kingdom
  • Category Kingdom

Classical-quantum Domain

  • Binary c-q Kingdom
  • Analog c-q Kingdom

  • Add new code
  • Team
  • About

  • 🌒
≡
Error correction zoo by Victor V. Albert, Philippe Faist, and many contributors. This work is licensed under a CC-BY-SA License. See how to contribute.