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Weight distribution of binary cyclic codes having the all-one vector: Group of cyclic shifts on codewords of a cyclic code - Softcover
Synopsis
In coding theory there are a number of codes which are studied. In this book we specifically consider a class of codes known as cyclic codes. This class of codes has a very nice algebraic structure. We are mainly going to examine weight distribution of a binary cyclic codes which contain the all-one vector. Weight distribution is said to provide information of both practical and theoretical significance. In this book we have used the group of cyclic shifts to examine the weight distribution of binary cyclic code. The group of cyclic shifts acts and fixes elements in the set of all codewords of a cyclic code. As a result of this, stabilizers and lengths of the orbits are established. The lengths of the orbits and their frequencies are used to obtain the weight distribution. Furthermore, we have shown that if the length of a cyclic code is an odd prime and two codewords the all-one and the all-zero are removed from a cyclic code then the number of codewords remaining is divisible by the length. The analysis and results in this book are useful to all mathematicians.
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- PublisherLAP LAMBERT Academic Publishing
- Publication date2019
- ISBN 10 3659542849
- ISBN 13 9783659542848
- BindingPaperback
- LanguageEnglish
- Number of pages56
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Weight distribution of binary cyclic codes having the all-one vector
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LAP LAMBERT Academic Publishing, 2019
ISBN 10: 3659542849
ISBN 13: 9783659542848
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Weight distribution of binary cyclic codes having the all-one vector
Published by
LAP LAMBERT Academic Publishing, 2019
ISBN 10: 3659542849
ISBN 13: 9783659542848
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Weight distribution of binary cyclic codes having the all-one vector
Published by
LAP LAMBERT Academic Publishing Aug 2019, 2019
ISBN 10: 3659542849
ISBN 13: 9783659542848
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Taschenbuch
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In coding theory there are a number of codes which are studied. In this book we specifically consider a class of codes known as cyclic codes. This class of codes has a very nice algebraic structure. We are mainly going to examine weight distribution of a binary cyclic codes which contain the all-one vector. Weight distribution is said to provide information of both practical and theoretical significance. In this book we have used the group of cyclic shifts to examine the weight distribution of binary cyclic code. The group of cyclic shifts acts and fixes elements in the set of all codewords of a cyclic code. As a result of this, stabilizers and lengths of the orbits are established. The lengths of the orbits and their frequencies are used to obtain the weight distribution. Furthermore, we have shown that if the length of a cyclic code is an odd prime and two codewords the all-one and the all-zero are removed from a cyclic code then the number of codewords remaining is divisible by the length. The analysis and results in this book are useful to all mathematicians. 56 pp. Englisch. Seller Inventory # 9783659542848
Quantity: 2 available
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Weight distribution of binary cyclic codes having the all-one vector
Published by
LAP LAMBERT Academic Publishing, 2019
ISBN 10: 3659542849
ISBN 13: 9783659542848
New
Softcover
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Weight distribution of binary cyclic codes having the all-one vector : Group of cyclic shifts on codewords of a cyclic code
Published by
LAP LAMBERT Academic Publishing, 2019
ISBN 10: 3659542849
ISBN 13: 9783659542848
New
Taschenbuch
Seller: AHA-BUCH GmbH, Einbeck, Germany
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - In coding theory there are a number of codes which are studied. In this book we specifically consider a class of codes known as cyclic codes. This class of codes has a very nice algebraic structure. We are mainly going to examine weight distribution of a binary cyclic codes which contain the all-one vector. Weight distribution is said to provide information of both practical and theoretical significance. In this book we have used the group of cyclic shifts to examine the weight distribution of binary cyclic code. The group of cyclic shifts acts and fixes elements in the set of all codewords of a cyclic code. As a result of this, stabilizers and lengths of the orbits are established. The lengths of the orbits and their frequencies are used to obtain the weight distribution. Furthermore, we have shown that if the length of a cyclic code is an odd prime and two codewords the all-one and the all-zero are removed from a cyclic code then the number of codewords remaining is divisible by the length. The analysis and results in this book are useful to all mathematicians. Seller Inventory # 9783659542848
Quantity: 1 available
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Weight distribution of binary cyclic codes having the all-one vector: Group of cyclic shifts on codewords of a cyclic code
Published by
LAP LAMBERT Academic Publishing, 2019
ISBN 10: 3659542849
ISBN 13: 9783659542848
New
Paperback
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Paperback. Condition: Brand New. 56 pages. 8.66x5.91x0.13 inches. In Stock. Seller Inventory # 3659542849
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Weight distribution of binary cyclic codes having the all-one vector
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ISBN 13: 9783659542848
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Kamanga Suzgo MnyamulaSuzgo Mnyamula Kamanga, Msc ITCC Master of Science in Information theory Coding and Cryptography at Mzuzu Uniersity, Bsc. in Mathematical Sciences Education at The Malawi Polytechnic-University of Malawi, Diplo. Seller Inventory # 385767518
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Weight distribution of binary cyclic codes having the all-one vector
Published by
LAP LAMBERT Academic Publishing Aug 2019, 2019
ISBN 10: 3659542849
ISBN 13: 9783659542848
New
Taschenbuch
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Taschenbuch. Condition: Neu. Neuware -In coding theory there are a number of codes which are studied. In this book we specifically consider a class of codes known as cyclic codes. This class of codes has a very nice algebraic structure. We are mainly going to examine weight distribution of a binary cyclic codes which contain the all-one vector. Weight distribution is said to provide information of both practical and theoretical significance. In this book we have used the group of cyclic shifts to examine the weight distribution of binary cyclic code. The group of cyclic shifts acts and fixes elements in the set of all codewords of a cyclic code. As a result of this, stabilizers and lengths of the orbits are established. The lengths of the orbits and their frequencies are used to obtain the weight distribution. Furthermore, we have shown that if the length of a cyclic code is an odd prime and two codewords the all-one and the all-zero are removed from a cyclic code then the number of codewords remaining is divisible by the length. The analysis and results in this book are useful to all mathematicians.Books on Demand GmbH, Überseering 33, 22297 Hamburg 56 pp. Englisch. Seller Inventory # 9783659542848
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