This is a list of algebraic coding theory topics.

ARQ
Adler-32
Algebraic geometry code
BCH code
BCJR algorithm
Belief propagation
Berger code
Berlekamp–Massey algorithm
Binary Golay code
Binary Goppa code
Bipolar violation
CRHF
Casting out nines
Check digit
Chien's search
Chipkill
Cksum
Coding gain
Coding theory
Constant-weight code
Convolutional code
Cross R-S code
Cryptographic hash function
Cyclic redundancy check
Damm algorithm
Dual code
EXIT chart
Error-correcting code
Enumerator polynomial
Fletcher's checksum

Forward error correction
Forward-backward algorithm
Gilbert–Varshamov bound
GOST (hash function)
Group coded recording
HAS-160
HAS-V
HAVAL
Hadamard code
Hagelbarger code
Hamming bound
Hamming code
Hamming(7,4)
Hamming distance
Hamming weight
Hash collision
Hash function
Hash list
Hash tree
Induction puzzles
Integrity check value
Interleaving
ISBN
ISMN
LM hash
Lexicographic code

Linear code
Link adaptation
Low-density parity-check
Luhn algorithm
Luhn mod N algorithm
M of n codes
MD2
MD4
MD5
MDC-2
Majority logic decoding
McWilliams identity
Md5sum
Merkle–Damgård construction
N-Hash
Negative-acknowledge character
One-way compression function
Parity bit
Pearson hashing
Perfect code
Quantum fingerprinting
RIPEMD
Random oracle
Redundancy check
Reed–Solomon code
Reed–Solomon error correction
Repeat-accumulate code

Repetition code
SEC-DED
SFV
SHA-1
SHA-2
Sanity testing
Shaping codes
Singleton bound
Snake-in-the-box
Snefru
Soft output Viterbi algorithm
Sparse graph code
Syndrome decoding
Tanner graph
Ternary Golay code
Tiger (hash function)
Transverse redundancy check
Triple modular redundancy
Turbo code
UOWHF
Universal hashing
Universal Product Code
Verhoeff algorithm
Viterbi algorithm
Viterbi decoder
WHIRLPOOL

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