Binary Golay code — In mathematics and computer science, a binary Golay code is a type of error correcting code used in digital communications. The binary Golay code, along with the ternary Golay code, has a particularly deep and interesting connection to the theory … Wikipedia
Golay code — may refer to:* Binary Golay code * Ternary Golay code … Wikipedia
Ternary Golay code — There are two closely related error correcting codes known as ternary Golay codes. The code generally known simply as the ternary Golay code is a perfect (11, 6, 5) ternary linear code; the extended ternary Golay code is a (12, 6, 6) linear code… … Wikipedia
Cyclic code — In coding theory, cyclic codes are linear block error correcting codes that have convenient algebraic structures for efficient error detection and correction. Contents 1 Definition 2 Algebraic structure 3 Examples … Wikipedia
Even code — A binary code is called an even code if the Hamming weight of all its codewords is even. An even code should have a generator polynomial that include (1+x) minimal polynomial as a product. Furthermore, a binary code is called doubly even if the… … Wikipedia
Quadratic residue code — A quadratic residue code is a type of cyclic code.There is a quadratic residue code of length pover the finite field GF(l) whenever pand l are primes, p is odd andl is a quadratic residue modulo p.Its generator polynomial as a cyclic code is… … Wikipedia
Code — redirects here. CODE may also refer to Cultural Olympiad Digital Edition. Decoded redirects here. For the television show, see Brad Meltzer s Decoded. For code (computer programming), see source code. For other uses, see Code (disambiguation).… … Wikipedia
Concatenated error correction code — In coding theory, concatenated codes form a class of error correcting codes that are derived by combining an inner code and an outer code. They were conceived in 1966 by Dave Forney as a solution to the problem of finding a code that has both… … Wikipedia
Linear code — In mathematics and information theory, a linear code is an important type of block code used in error correction and detection schemes. Linear codes allow for more efficient encoding and decoding algorithms than other codes (cf. syndrome… … Wikipedia
Hamming code — In telecommunication, a Hamming code is a linear error correcting code named after its inventor, Richard Hamming. Hamming codes can detect and correct single bit errors. In other words, the Hamming distance between the transmitted and received… … Wikipedia
Block code — In computer science, a block code is a type of channel coding. It adds redundancy to a message so that, at the receiver, one can decode with minimal (theoretically zero) errors, provided that the information rate (amount of transported… … Wikipedia
