Index of code constructions#

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

Families of Codes (Rich representation)#

`ParityCheckCode()`	Parity check codes
`CyclicCode()`	Cyclic codes
`BCHCode()`	BCH Codes
`GeneralizedReedSolomonCode()`	Generalized Reed-Solomon codes
`ReedSolomonCode()`	Reed-Solomon codes
`BinaryReedMullerCode()`	Binary Reed-Muller codes
`ReedMullerCode()`	q-ary Reed-Muller codes
`HammingCode()`	Hamming codes
`GolayCode()`	Golay codes
`GoppaCode()`	Goppa codes
`KasamiCode()`	Kasami codes

Families of Codes (Generator matrix representation)#

`DuadicCodeEvenPair()`	Duadic codes, even pair
`DuadicCodeOddPair()`	Duadic codes, odd pair
`QuadraticResidueCode()`	Quadratic residue codes
`ExtendedQuadraticResidueCode()`	Extended quadratic residue codes
`QuadraticResidueCodeEvenPair()`	Even-like quadratic residue codes
`QuadraticResidueCodeOddPair()`	Odd-like quadratic residue codes
`QuasiQuadraticResidueCode()`	Quasi quadratic residue codes (Requires GAP/Guava)
`ToricCode()`	Toric codes
`WalshCode()`	Walsh codes
`from_parity_check_matrix()`	Construct a code from a parity check matrix
`random_linear_code()`	Construct a random linear code
`RandomLinearCodeGuava()`	Construct a random linear code through Guava (Requires GAP/Guava)

Derived Codes#

`SubfieldSubcode()`	Subfield subcodes
`ExtendedCode()`	Extended codes
`PuncturedCode()`	Puncturedcodes

Note

To import these names into the global namespace, use:

sage: from sage.coding.codes_catalog import *