Hexacode

168 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In coding theory, the hexacode is length 6 linear code of dimension 3 over the Galois field GF(4) = {0,1,¿,¿2} of 4 elements defined by H={(a,b,c,f(1),f(omega),f(omega^2) : f(x):=ax^2+bx+c; a,b,cin GF(4)}. Then H contains 45 codewords of weight 4, 18 codewords of weight 6 and the zero word. The full automorphism group of the hexacode is 3.S6. The hexacode can be used to describe the Miracle Octad Generator of R. T. Curtis. 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 disciplines-such as information theory, electrical engineering, mathematics, and computer science-for the purpose of designing efficient and reliable data transmission methods. This typically involves the removal of redundancy and the correction (or detection) of errors in the transmitted data.

• Themen: Informatik und Informationstechnologie Computerprogrammierung und Softwareentwicklung Programmier- und Skriptsprachen, allgemein
• ISBN: 9786133002708
• Sprache: Englisch
• Erscheinungsdatum: 23.10.2010
• Größe: 220 x 150 mm
• Verlag: Betascript Publishing
• Herausgegeben von: Mariam T. Tennoe, Lambert M. Surhone, Susan F. Henssonow