A First Course in Coding Theory (Oxford Applied Mathematics and Computing Science Series)

Algebraic coding theory is a new and rapidly developing subject, popular for its many practical applications and for its fascinatingly rich mathematical structure. This book provides an elementary yet rigorous introduction to the theory of error-correcting codes. Based on courses given by the author over several years to advanced undergraduates and first-year graduated students, this guide includes a large number of exercises, all with solutions, making the book highly suitable for individual study. Hill, R. A first course in coding theory(Oxford Applied Mathematics and Computing Science )(OUP,1 ed.1990) ......Page 4 Preface Vii ......Page 7 Acknowledgements viii ......Page 8 Contents ix ......Page 9 Notation xi ......Page 10 1 Introduction to error-correcting codes 1 ......Page 12 2 The main coding theory problem 11 ......Page 22 3 An introduction to finite fields 31 ......Page 42 4 Vector spaces over finite fields 41 ......Page 52 5 Introduction to linear codes 47 ......Page 58 6 Encoding and decoding with a linear code 55 ......Page 66 7 The dual code, the parity-check matrix, and syndrome decoding 67 ......Page 78 8 The Hamming codes 81 ......Page 92 9 Perfect codes 97 ......Page 108 10 Codes and Latin squares 113 ......Page 124 11 A double-error correcting decimal code and an introduction to BCH codes 125 ......Page 136 12 Cyclic codes 141 ......Page 152 13 Weight enumerators 165 ......Page 176 14 The main linear coding theory problem 175 ......Page 186 15 MDS codes 191 ......Page 202 16 Concluding remarks, related topics, and further reading 201 ......Page 212 Solutions to exercises 211 ......Page 222 Bibliography 243 ......Page 254 Index 249 ......Page 260 cover ......Page 1 Romance simmers hot in the Nevada desert when Parker, a lonely horse trainer, hires Jerry, a sexy ex-con on parole, to work at his stables. Parker met Jerry years ago when Parker was an instructor in a program that used prisoners to train wild Mustangs. Jerry has a talent for working with the horses, but Parker never expected to see Jerry in the outside world and certainly didnt expect to feel such a strong attraction. Parkers been burned in the past, and hes not sure he can trust the ex-con with his heart. Jerry needs a job to stay on parole, but thats not the only reason he wants to spend time with his former instructor. Parkers as handsome as ever, and Jerry wouldnt mind if Parker screwed his brains out on a regular basis. Only Parkers as gun-shy as the horses he trains, and Jerrys had too many years keeping his emotions under wraps to be any good at relationships. Both men have old scars that run deep. Can they learn to overcome their pasts and forge a brand new future together? This story is also available in the Horsing Around anthology. Taking place in the midst of the Deviations series, Ratchet shows Tobias and Noah at their best: playing games, having fun, and loving each other. What is a Dom to do with a sub who actually works with such handy tools as handcuffs? While the answer may seem predictable, Tobias and Noah know how to make any such scene their very own, and Tobias finds that police training is an instinct almost as strong as Noah's need to submit. Originally published in Toy Box: Handcuffs The aim of this book is to provide an elementary treatment of the theory of error-correcting codes, assuming no more than high school mathematics and the ability to carry out matrix arithmetic. The book is intended to serve as a self-contained course for second or third year mathematics undergraduates, or as a readable introduction to the mathematical aspects of coding for students in engineering or computer science. Nate may have a crossover hit with his first single, but hes also a 19-year-old virgin whos about to come out in Rolling Stone. But when Carson, the cocky sound engineer whos helped put him on the map issues him one more challenge, Nate sees an opportunity he cant refuse. Also part of the First Timers anthology from Torquere Press. The story of what happens when a completely Republican controlled Congress completely repeals The Americans With Disabilities Act, seen partly through the eyes of Ashley Joshua Windfoot, a boy who is himself in a wheelchair, and partly through the eyes of his best friend, a girl named Avery Jessica Chainlink. Veronica Vestri. Edizione A Cura Dell'azienda Usl 4 Di Prato In Collaborazione Con Cariprato, Cassa Di Risparmio Di Prato. Includes Bibliographical References (p. 171). Error-correcting codes are used to correct errors when messages are transmitted through a noisy communication channel. L'incoronazione di Poppea: Virtue and love look on as evil triumphs in this, Monteverdi's operatic masterpiece This book provides and elementary, yet rigorous, introduction to the theory of error-correcting codes. Orfeo: Monteverdi's reworking of the most popular of all Greek myths, that of Orpheus and Euridice Raymond Hill. Includes Index. Bibliography: P. [243]-248.