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Version 10.10 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
Gabidulin Code

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

Index – _

__call__() (sage.coding.abstract_code.AbstractCode method)
__init__() (sage.coding.linear_rank_metric.AbstractLinearRankMetricCode method)

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