algebraic error correcting code

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• 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

• Error detection and correction — In mathematics, computer science, telecommunication, and information theory, error detection and correction has great practical importance in maintaining data (information) integrity across noisy channels and less than reliable storage… …   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

• Forward error correction — In telecommunication, information theory, and coding theory, forward error correction (FEC) or channel coding[1] is a technique used for controlling errors in data transmission over unreliable or noisy communication channels. The central idea is… …   Wikipedia

• Reed–Solomon error correction — Reed Solomon error correction is an error correcting code that works by oversampling a polynomial constructed from the data. The polynomial is evaluated at several points, and these values are sent or recorded. Sampling the polynomial more often… …   Wikipedia

• BCH code — In coding theory the BCH codes form a class of parameterised error correcting codes which have been the subject of much academic attention in the last fifty years. BCH codes were invented in 1959 by Hocquenghem, and independently in 1960 by Bose… …   Wikipedia

• Convolutional code — In telecommunication, a convolutional code is a type of error correcting code in which each m bit information symbol (each m bit string) to be encoded is transformed into an n bit symbol, where m/n is the code rate (n ≥ m) and the transformation… …   Wikipedia

• List of algebraic coding theory topics — This is a list of algebraic coding theory topics. ARQ[disambiguation needed  ] Adler 32 BCH code BCJR algorithm Berger code Berlekamp Massey algo …   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

• Binary code — The word Wikipedia represented in ASCII binary. A binary code is a way of representing text or computer processor instructions by the use of the binary number system s two binary digits 0 and 1. This is accomplished by assigning a bit string to… …   Wikipedia

• Coding theory — is the study of the properties of codes and their fitness for a specific application. Codes are used for data compression, cryptography, error correction and more recently also for network coding. Codes are studied by various scientific… …   Wikipedia