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Coding Theory
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Sage 10.2 Reference Manual
  • Home - Coding Theory
  • Codes
  • Channels
  • Encoders
  • Decoders
  • Index of channels
  • Index of code constructions
  • Index of decoders
  • Index of encoders
  • Index of bounds on the parameters of codes
  • Generic structures for linear codes of any metric
  • Generic structures for linear codes over the Hamming metric
  • Generic structures for linear codes over the rank metric
  • Parity-check code
  • Hamming codes
  • Cyclic code
  • BCH code
  • Golay code
  • Reed-Muller code
  • Reed-Solomon codes and Generalized Reed-Solomon codes
  • Goppa code
  • Kasami code
  • AG codes
    • Decoders for AG codes
  • Decoders for AG codes
  • Linear code constructors that do not preserve the structural information
  • Constructions of generator matrices using the GUAVA package for GAP
  • Enumerating binary self-dual codes
  • Optimized low-level binary code representation
  • Subfield subcode
  • Punctured code
  • Extended code
  • Information-set decoding for linear codes
  • Guruswami-Sudan decoder for (Generalized) Reed-Solomon codes
  • Interpolation algorithms for the Guruswami-Sudan decoder
  • Guruswami-Sudan utility methods
  • Canonical forms and automorphism group computation for linear codes over finite fields
  • Canonical forms and automorphisms for linear codes over finite fields
  • Bounds for parameters of codes
  • Delsarte (or linear programming) bounds
  • Access functions to online databases for coding theory
  • Database of two-weight codes
  • Huffman encoding
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Index of channels#

Channels in Sage implement the information theoretic notion of transmission of messages.

The channels object may be used to access the codes that Sage can build.

  • channel.ErrorErasureChannel

  • channel.QarySymmetricChannel

  • channel.StaticErrorRateChannel

To import these names into the global namespace, use:

sage: from sage.coding.channels_catalog import *
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Index of code constructions
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Decoders
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