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Number theoretical foundations in cryptography

In recent times the hazards in relationships among entities in different establishments worldwide have generated exciting developments in cryptography. Central to this is the theory of numbers. This area of mathematics provides very rich source of fundamental materials for constructing secret codes....

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Main Author: Mohd Atan, Kamel Ariffin
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing 2016
Online Access:http://psasir.upm.edu.my/id/eprint/57478/1/Number%20theoretical%20foundations%20in%20cryptography.pdf
http://psasir.upm.edu.my/id/eprint/57478/
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spelling my.upm.eprints.574782017-09-27T11:09:17Z http://psasir.upm.edu.my/id/eprint/57478/ Number theoretical foundations in cryptography Mohd Atan, Kamel Ariffin In recent times the hazards in relationships among entities in different establishments worldwide have generated exciting developments in cryptography. Central to this is the theory of numbers. This area of mathematics provides very rich source of fundamental materials for constructing secret codes. Some number theoretical concepts that have been very actively used in designing crypto systems will be highlighted in this presentation. This paper will begin with introduction to basic number theoretical concepts which for many years have been thought to have no practical applications. This will include several theoretical assertions that were discovered much earlier in the historical development of number theory. This will be followed by discussion on the “hidden” properties of these assertions that were later exploited by designers of cryptosystems in their quest for developing secret codes. This paper also highlights some earlier and existing cryptosystems and the role played by number theoretical concepts in their constructions. The role played by cryptanalysts in detecting weaknesses in the systems developed by cryptographers concludes this presentation. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57478/1/Number%20theoretical%20foundations%20in%20cryptography.pdf Mohd Atan, Kamel Ariffin (2016) Number theoretical foundations in cryptography. In: 24th National Symposium on Mathematical Sciences (SKSM24), 27-29 Sept. 2016, Primula Beach Hotel, Kuala Terengganu, Terengganu. (pp. 1-8). 10.1063/1.4995824
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description In recent times the hazards in relationships among entities in different establishments worldwide have generated exciting developments in cryptography. Central to this is the theory of numbers. This area of mathematics provides very rich source of fundamental materials for constructing secret codes. Some number theoretical concepts that have been very actively used in designing crypto systems will be highlighted in this presentation. This paper will begin with introduction to basic number theoretical concepts which for many years have been thought to have no practical applications. This will include several theoretical assertions that were discovered much earlier in the historical development of number theory. This will be followed by discussion on the “hidden” properties of these assertions that were later exploited by designers of cryptosystems in their quest for developing secret codes. This paper also highlights some earlier and existing cryptosystems and the role played by number theoretical concepts in their constructions. The role played by cryptanalysts in detecting weaknesses in the systems developed by cryptographers concludes this presentation.
format Conference or Workshop Item
author Mohd Atan, Kamel Ariffin
spellingShingle Mohd Atan, Kamel Ariffin
Number theoretical foundations in cryptography
author_facet Mohd Atan, Kamel Ariffin
author_sort Mohd Atan, Kamel Ariffin
title Number theoretical foundations in cryptography
title_short Number theoretical foundations in cryptography
title_full Number theoretical foundations in cryptography
title_fullStr Number theoretical foundations in cryptography
title_full_unstemmed Number theoretical foundations in cryptography
title_sort number theoretical foundations in cryptography
publisher AIP Publishing
publishDate 2016
url http://psasir.upm.edu.my/id/eprint/57478/1/Number%20theoretical%20foundations%20in%20cryptography.pdf
http://psasir.upm.edu.my/id/eprint/57478/
_version_ 1643836499647528960
score 13.211869

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