Coding Theory
Linear Codes over Finite Fields
Linear code constructors, generator matrices, and parameters.
Algebraic-Geometric Codes
Codes constructed from algebraic curves, and their decoding.
Low Density Parity Check Codes
LDPC code construction and properties.
Linear Codes over Finite Rings
Linear codes over finite rings: creation, subcodes, and Boolean operations.
Linear Codes over the Integer Residue Ring Z4
Linear codes over :math:\Z_4, invariants, weight enumerators, and decoding.
Additive Codes
Additive code constructors, subcodes, and Boolean operations.
Quantum Codes
Quantum error-correcting codes, inner products, and code combination.
Pseudo-random Bit Sequences
Linear feedback shift registers, Berlekamp-Massey, correlation, decimation, and the SHA-1 hash.