- linear-code parity-check matrix
- проверочная матрица линейного кода
Англо-русский словарь промышленной и научной лексики. 2014.
linear-code parity-check matrix
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Parity-check matrix — In coding theory, a parity check matrix of a linear block code C is a generator matrix of the dual code. As such, a codeword c is in C if and only if the matrix vector product Hc=0. The rows of a parity check matrix are parity checks on the… … 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
Low-density parity-check code — In information theory, a low density parity check code (LDPC code) is an error correcting code, a method of transmitting a message over a noisy transmission channel. [David J.C. MacKay (2003) Information theory, inference and learning algorithms … 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
Generator matrix — In coding theory, a generator matrix is a basis for a linear code, generating all its possible codewords.If the matrix is G and the linear code is C , : w =cGwhere w is a unique codeword of the linear code C , c is a unique row vector, and a… … 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
Dual code — For players of both rugby codes, see List of dual code rugby internationals. In coding theory, the dual code of a linear code is the linear code defined by where is a scalar product. In linear algebra terms, the dual code is the annihi … Wikipedia
Hadamard code — The Hadamard code, named after Jacques Hadamard, is a system used for signal error detection and correction. It is one of the family of [2 n , n + 1, 2 n − 1] codes. Especially for large n it has a poor rate but it is capable of correcting many… … 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
Erasure code — In information theory, an erasure code is a forward error correction (FEC) code for the binary erasure channel, which transforms a message of k symbols into a longer message (code word) with n symbols such that the original message can be… … Wikipedia
Reed–Muller code — Reed Muller codes are a family of linear error correcting codes used in communications. They are named after their discoverers, Irving S. Reed and D. E. Muller. Muller discovered the codes, and Reed proposed the majority logic decoding for the… … Wikipedia
