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Coding Theory¶

Abstract classes, catalogs and databases¶

  • Decoder
  • Encoder
  • Index of bounds
  • Index of channels
  • Index of codes
  • Index of decoders
  • Index of encoders
  • Databases and accessors of online databases for coding theory
  • Database of two-weight codes

Linear codes and related constructions¶

  • Generic structures for linear codes
  • Generalized Reed-Solomon code
  • Hamming Code
  • Guruswami-Sudan decoder for Generalized Reed-Solomon codes
  • Interpolation algorithms for the Guruswami-Sudan decoder
  • Guruswami-Sudan utility methods
  • Subfield subcode
  • Linear code constructors that do not preserve the structural information.
  • Punctured code
  • Extended code
  • Enumerating binary self-dual codes
  • Guava error-correcting code constructions
  • Fast binary code routines
  • Reed-Muller code

Bounds on codes¶

  • Bounds for Parameters of Codes
  • Delsarte, a.k.a. Linear Programming (LP), upper bounds

Channels and related constructions¶

  • Channels

Source coding¶

  • Huffman Encoding

Canonical forms¶

  • Canonical forms and automorphism group computation for linear codes over finite fields
  • Canonical forms and automorphisms for linear codes over finite fields

Other tools¶

  • Management of relative finite field extensions

Deprecated modules¶

  • Deprecated name for sage.coding.self_dual_codes

Indices and Tables¶

  • Index
  • Module Index
  • Search Page

Table Of Contents

  • Coding Theory
    • Abstract classes, catalogs and databases
    • Linear codes and related constructions
    • Bounds on codes
    • Channels and related constructions
    • Source coding
    • Canonical forms
    • Other tools
    • Deprecated modules
  • Indices and Tables

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