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In coding theory, concatenated codes ... University at Buffalo Lecture Notes on Coding Theory – Dr. Atri Rudra This page was last edited on 5 December 2023, at 00: ...
In coding theory, decoding is the process of translating received messages into codewords of a given code. There have been many common methods of mapping messages to codewords. These are often used to recover messages sent over a noisy channel, such as a binary symmetric channel.
Lecture 11: Gilbert–Varshamov Bound. Coding Theory Course. Professor Atri Rudra; Lecture 9: Bounds on the Volume of Hamming Ball. Coding Theory Course. Professor Atri Rudra; Coding Theory Notes: Gilbert–Varshamov Bound. Venkatesan Guruswami
The term algebraic coding theory denotes the sub-field of coding theory where the properties of codes are expressed in algebraic terms and then further researched. [ citation needed ] Algebraic coding theory is basically divided into two major types of codes: [ citation needed ]
Hamming studied the existing coding schemes, including two-of-five, and generalized their concepts. To start with, he developed a nomenclature to describe the system, including the number of data bits and error-correction bits in a block.
In coding theory, the Zyablov bound is a lower bound on the rate and relative ... MIT Lecture Notes on Essential Coding Theory – Dr. Madhu Sudan;
In coding theory, the Kraft–McMillan inequality gives a necessary and sufficient condition for the existence of a prefix code [1] (in Leon G. Kraft's version) or a uniquely decodable code (in Brockway McMillan's version) for a given set of codeword lengths.
In coding theory, the Bose–Chaudhuri–Hocquenghem codes (BCH codes) form a class of cyclic error-correcting codes that are constructed using polynomials over a finite field (also called a Galois field). BCH codes were invented in 1959 by French mathematician Alexis Hocquenghem, and independently in 1960 by Raj Chandra Bose and D. K. Ray ...