parity 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

• Parity (physics) — Flavour in particle physics Flavour quantum numbers: Isospin: I or I3 Charm: C Strangeness: S Topness: T Bottomness: B′ Related quantum numbers: Baryon number: B Lepton number: L Weak isospin: T or T3 Electric charge: Q …   Wikipedia

• Matrix mechanics — Quantum mechanics Uncertainty principle …   Wikipedia

• Parity of a permutation — Permutations of 4 elements Odd permutations have a green or orange background. The numbers in the right column are the inversion numbers (sequence …   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

• Low-Density-Parity-Check-Code — Low Density Parity Check Codes, auch als LDPC oder Gallager Codes bezeichnet, sind lineare Blockcodes zur Fehlerkorrektur. Sie wurden 1962 von Robert Gray Gallager im Rahmen seiner Dissertation am MIT entwickelt [1] [2]. Low Density Parity Check… …   Deutsch Wikipedia

• Rotation matrix — In linear algebra, a rotation matrix is a matrix that is used to perform a rotation in Euclidean space. For example the matrix rotates points in the xy Cartesian plane counterclockwise through an angle θ about the origin of the Cartesian… …   Wikipedia

• Orthogonal matrix — In linear algebra, an orthogonal matrix (less commonly called orthonormal matrix[1]), is a square matrix with real entries whose columns and rows are orthogonal unit vectors (i.e., orthonormal vectors). Equivalently, a matrix Q is orthogonal if… …   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

• Counterfeit coin problem — Information theory was created in 1948 by Claude Shannon. This theory has notably enriched the field of research into mathematics, economics, biology, psychology, semantics, etc. As an example, this theory recently contributed to quantum… …   Wikipedia

• Decoding methods — In communication theory and coding theory, decoding is the process of translating received messages into codewords of a given code. There has been many common methods of mapping messages to codewords. These are often used to recover messages sent …   Wikipedia