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binary codeword

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  • Binary symmetric channel — A binary symmetric channel (or BSC) is a common communications channel model used in coding theory and information theory. In this model, a transmitter wishes to send a bit (a zero or a one), and the receiver receives a bit. It is assumed that… …   Wikipedia

  • 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

  • Truncated binary encoding — is an entropy encoding typically used for uniform probability distributions with a finite alphabet. It is parameterized by an alphabet with total size of number n . It is a slightly more general form of binary encoding when n is not a power of… …   Wikipedia

  • Variable-length code — In coding theory a variable length code is a code which maps source symbols to a variable number of bits. Variable length codes can allow sources to be compressed and decompressed with zero error (lossless data compression) and still be read back …   Wikipedia

  • Exponential-Golomb coding — An Exponential Golomb code (or just Exp Golomb code) of order k is a type of universal code, parameterized by a whole number k. To encode a nonnegative integer in an order k exp Golomb code, one can use the following method: # Take the number in… …   Wikipedia

  • Huffman coding — Huffman tree generated from the exact frequencies of the text this is an example of a huffman tree . The frequencies and codes of each character are below. Encoding the sentence with this code requires 135 bits, as opposed of 288 bits if 36… …   Wikipedia

  • Coding theory approaches to nucleic acid design — DNA code construction refers to the application of coding theory to the design of nucleic acid systems for the field of DNA–based computation. Contents 1 Introduction 2 Definitions 2.1 Property U 2 …   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

  • 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

  • Mathematics of CRC — Cyclic Redundancy Check (CRC) is based on division in the ring of polynomials over the finite field GF(2) (the integers modulo 2), that is, the set of polynomials where each coefficient is either zero or one, and arithmetic operations wrap around …   Wikipedia

  • Kraft's inequality — In coding theory, Kraft s inequality, named after Leon Kraft, gives a necessary and sufficient condition for the existence of a uniquely decodable code for a given set of codeword lengths. Its applications to prefix codes and trees often find use …   Wikipedia