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9783330323278: Elliptic Curve Cryptography and Coding Theory

Sinopsis

From the earliest days of history, the requirement for methods of secret communication and protection of information had been present. Cryptography is such an important field of science developed to facilitate secret communication and safeguard information. Cryptography is based on mathematics. Private key cryptography and Public key cryptography are the two main types of cryptography. Public key cryptosystems offer more security and convenience for the users. The main objective of this study is to explore the possibilities of further improvement of Elliptic Curve Cryptography (ECC) by studying the mathematical aspects behind the “Elliptic Curve Cryptosystem” which is one of the latest of this kind and develop a computer program to generate the cyclic subgroup of a given elliptic curve defined over a finite field Zp, where p is a prime, which is the major requirement to perform ECC and then use the same to illustrate how data security is achieved from this. Moreover this study proposes an improvement for the encryption of a message through utilization of a concept in “Coding Theory” of Abstract algebra which offers an additional shield for the transmitted message.

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Reseña del editor

From the earliest days of history, the requirement for methods of secret communication and protection of information had been present. Cryptography is such an important field of science developed to facilitate secret communication and safeguard information. Cryptography is based on mathematics. Private key cryptography and Public key cryptography are the two main types of cryptography. Public key cryptosystems offer more security and convenience for the users. The main objective of this study is to explore the possibilities of further improvement of Elliptic Curve Cryptography (ECC) by studying the mathematical aspects behind the “Elliptic Curve Cryptosystem” which is one of the latest of this kind and develop a computer program to generate the cyclic subgroup of a given elliptic curve defined over a finite field Zp, where p is a prime, which is the major requirement to perform ECC and then use the same to illustrate how data security is achieved from this. Moreover this study proposes an improvement for the encryption of a message through utilization of a concept in “Coding Theory” of Abstract algebra which offers an additional shield for the transmitted message.

Biografía del autor

Miss. B. A. Kasuni Welihinda has obtained her B. Sc. (Special) Degree in Mathematics from the University of Sri Jayewardenepura, Sri Lanka in 2015. She is currently working at the University and hopes to continue studies in Abstract Algebra.

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B. A. Kasuni Welihinda,R. Sanjeewa
ISBN 10: 3330323272 ISBN 13: 9783330323278
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B. A. Kasuni Welihinda
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -From the earliest days of history, the requirement for methods of secret communication and protection of information had been present. Cryptography is such an important field of science developed to facilitate secret communication and safeguard information. Cryptography is based on mathematics. Private key cryptography and Public key cryptography are the two main types of cryptography. Public key cryptosystems offer more security and convenience for the users. The main objective of this study is to explore the possibilities of further improvement of Elliptic Curve Cryptography (ECC) by studying the mathematical aspects behind the 'Elliptic Curve Cryptosystem' which is one of the latest of this kind and develop a computer program to generate the cyclic subgroup of a given elliptic curve defined over a finite field Zp, where p is a prime, which is the major requirement to perform ECC and then use the same to illustrate how data security is achieved from this. Moreover this study proposes an improvement for the encryption of a message through utilization of a concept in 'Coding Theory' of Abstract algebra which offers an additional shield for the transmitted message. 116 pp. Englisch. Nº de ref. del artículo: 9783330323278

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ISBN 10: 3330323272 ISBN 13: 9783330323278
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Taschenbuch. Condición: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - From the earliest days of history, the requirement for methods of secret communication and protection of information had been present. Cryptography is such an important field of science developed to facilitate secret communication and safeguard information. Cryptography is based on mathematics. Private key cryptography and Public key cryptography are the two main types of cryptography. Public key cryptosystems offer more security and convenience for the users. The main objective of this study is to explore the possibilities of further improvement of Elliptic Curve Cryptography (ECC) by studying the mathematical aspects behind the 'Elliptic Curve Cryptosystem' which is one of the latest of this kind and develop a computer program to generate the cyclic subgroup of a given elliptic curve defined over a finite field Zp, where p is a prime, which is the major requirement to perform ECC and then use the same to illustrate how data security is achieved from this. Moreover this study proposes an improvement for the encryption of a message through utilization of a concept in 'Coding Theory' of Abstract algebra which offers an additional shield for the transmitted message. Nº de ref. del artículo: 9783330323278

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B. A. Kasuni Welihinda|R. Sanjeewa
Publicado por LAP LAMBERT Academic Publishing, 2017
ISBN 10: 3330323272 ISBN 13: 9783330323278
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Welihinda B. A. KasuniMiss. B. A. Kasuni Welihinda has obtained her B. Sc. (Special) Degree in Mathematics from the University of Sri Jayewardenepura, Sri Lanka in 2015. She is currently working at the University and hopes to continu. Nº de ref. del artículo: 151237961

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B. A. Kasuni Welihinda
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Taschenbuch. Condición: Neu. Neuware -From the earliest days of history, the requirement for methods of secret communication and protection of information had been present. Cryptography is such an important field of science developed to facilitate secret communication and safeguard information. Cryptography is based on mathematics. Private key cryptography and Public key cryptography are the two main types of cryptography. Public key cryptosystems offer more security and convenience for the users. The main objective of this study is to explore the possibilities of further improvement of Elliptic Curve Cryptography (ECC) by studying the mathematical aspects behind the ¿Elliptic Curve Cryptosystem¿ which is one of the latest of this kind and develop a computer program to generate the cyclic subgroup of a given elliptic curve defined over a finite field Zp, where p is a prime, which is the major requirement to perform ECC and then use the same to illustrate how data security is achieved from this. Moreover this study proposes an improvement for the encryption of a message through utilization of a concept in ¿Coding Theory¿ of Abstract algebra which offers an additional shield for the transmitted message.Books on Demand GmbH, Überseering 33, 22297 Hamburg 116 pp. Englisch. Nº de ref. del artículo: 9783330323278

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Welihinda, B. A. Kasuni/ Sanjeewa, R.
Publicado por LAP LAMBERT Academic Publishing, 2017
ISBN 10: 3330323272 ISBN 13: 9783330323278
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