Plotkin bound coding theory (3 resultados)

Taschenbuch. Condición: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. In themathematics of coding theory, the Plotkin bound, named after MorrisPlotkin, is a bound on the maximum possible number of codewords inbinary codes of given length n and given minimum distance d.We say acode is binary, if the codewords use symbols from the binary alphabet{0,1}. In particular, if all codewords have a fixed length n, we speakof a binary code of length n.The expression A2(n,d) represents themaximum number of possible codewords in a binary code of length n andminimum distance d. The Plotkin bound places a limit on this expression.…

Taschenbuch. Condición: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. In themathematics of coding theory, the Plotkin bound, named after MorrisPlotkin, is a bound on the maximum possible number of codewords inbinary codes of given length n and given minimum distance d.We say acode is binary, if the codewords use symbols from the binary alphabet{0,1}. In particular, if all codewords have a fixed length n, we speakof a binary code of length n. Coding theory is the study of theproperties of codes and their fitness for a specific application. Codesare used for data compression, cryptography, error-correction and morerecently also for network coding. Codes are studied by variousscientific disciplines-such as information theory, electricalengineering, mathematics, and computer science-for the purpose ofdesigning efficient and reliable data transmission methods. Thistypically involves the removal of redundancy and the correction (ordetection) of errors in the transmitted data.…

Taschenbuch. Condición: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. In coding theorythe Gilbert-Varshamov bound is a bound on the parameters of a (notnecessarily linear) code. It is occasionally known as theGilbert-Shannon-Varshamov bound (or the GSV bound), but theGilbert-Varshamov bound is by far the most popular name. Coding theoryis the study of the properties of codes and their fitness for a specificapplication. Codes are used for data compression, cryptographyerror-correction and more recently also for network coding. Codes arestudied by various scientific disciplines-such as information theoryelectrical engineering, mathematics, and computer science-for thepurpose of designing efficient and reliable data transmission methods.This typically involves the removal of redundancy and the correction (ordetection) of errors in the transmitted data.…