Coding Theory#

Linear Codes over Finite Fields

Linear code constructors, generator matrices and parameters.

Linear Codes over Finite Fields
Algebraic-Geometric Codes

Codes constructed from algebraic curves, and their decoding.

Algebraic-Geometric Codes
Low Density Parity Check Codes

LDPC code construction and properties.

Low Density Parity Check Codes
Linear Codes over Finite Rings

Linear codes over finite rings: creation, subcodes and Boolean operations.

Linear Codes over Finite Rings
Linear Codes over the Integer Residue Ring Z4

Linear codes over :math:\mathbb{Z}_4, invariants, weight enumerators and decoding.

Linear Codes over the Integer Residue Ring {\mathbb{Z}}_4
Additive Codes

Additive code constructors, subcodes and Boolean operations.

Additive Codes
Quantum Codes

Quantum error-correcting codes, inner products and code combination.

Quantum Codes