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International Journal of Latest Research in Science and Technology

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THE PLACE OF GROUP THEORY ON RECENT TRENDS IN INFORMATION TRANSMISSION- ENCRYPTION AND DECRYPTION

Research Paper Open Access

International Journal of Latest Research in Science and Technology Vol.7 Issue 6, pp 18-22,Year 2018

THE PLACE OF GROUP THEORY ON RECENT TRENDS IN INFORMATION TRANSMISSION- ENCRYPTION AND DECRYPTION

Samuel Hwere Tsok , Augustine Pwasong , Naphtali B. Jelten

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Received : 14 December 2018; Accepted : 10 January 2019 ; Published : 29 January 2019

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Abstract

Progression in computing powers and parallelism technology are creating obstruction for credible security especially in electronic information swapping under cryptosystems, this led to this paper presenting the several ways in which group theory can be used to construct various key agreement protocols and finally presented the secure signatures with RSA, which enable identity verification during encryption and decryption of information.

Key Words   
Encryption, Decryption, Information transmission, Group Theory, Key agreement protocols and Secure
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References
  1. Laurence C.  Washington, Ellptic Curves. (second, Ed.) CRC Press, Boca, 2008.
  2. Samuel Hwere Tsok and Patrick N. Okolo, Application of Group Theory to a Local Game Called “Tsorry Checkerboard” (A Case of Klein Four- Group). IOSR-JM, Volume 7, Issue 3, 04-06, 2013.  www.iosrjournals.org
  3. Whitefield Diffie; Martin Hellman. “New directions in cryptography”. Information Theory, IEEE Transactions 22, 644-654, 1976
  4. Alfred J. Menezes and Scott A. Vanstone, A.,  A note on cyclic groups finite fields and the discrete logarithm problem, Application Algebra in Engineering, communication and computing, 3, 67-74, 1992
  5. Norman Biggs, The critical group from a cryptographic perspective, Bull. London Math. Soc. 39, 829–836, 2007
  6. Simon R. Blackburn, Carlos CID and Clarian Mullan. Group Theory in Cryptography a paper presented to the Department of Mathematics, Royal Holloway, University of London Egham, Surrey TW20 OEX, United Kingdom, 2010 {s. blackburn, carlos.cid, c.mullan}@rhul.ac.uk
  7. Steven Galbraith and Alfred Menezes, Algebraic curves and Cryptography, Finite Fields and Application 11, 544-577,  2005.
  8. Neal R. Wagner and Marianne R. Magyarik, A public key cryptosystem Based on the word problem, in Advances in Cryptology- CRYPTO’ 84 ( G.R. Blakely and David Chaum, eds), 19-36, 1985
  9. Mar´ıa Isabel Gonzalez Vasco, and Rainer Steinwandt, A reaction attack on a public key cryptosystem based on the word problem. Applicable Algebra In Engineering, Communication and computing 14, 335-340, 2004 .
  10. Ki, H. Ko, Sang Jin Lee, Jung Hee Cheon, Jae Woo H. Ju-Sung Kang and Choonsik Park, New public-key cryptosystem using braid group, in advances in Cryptology-CRYPTO 2000 (M. Bellare, ed.). Lecture notes in computer 1880, 166-183, 2000.
  11. Iris Anshel, Micheal Anshel, Dorian Goldfeld, An algebraic method for public-key cryptography. Math. And Lightweight cryptography. Contemp. Math 418, 1-34, 1999
  12. Alexei M., Shipilrain, V., Ushakov, A., Group-Based Cryptography Birkhauser, 2008,
  13. Arkdius Kalka, Mina Teicher and Boaz Tsaban, Cryptanalysis of the Algebra Eraser and short expressions of permutations as products’ preprint. http://arxiv.org/abs/0804.0629., 2006.
  14. Eberhard S,  A New method for Exchanging secret keys. Third international conference on Information Technology and Application (ICITA’05) pp 426-430. Piscataway: IEEE, Computer Society, 2005.
  15. David R. Finson and Patrick J. Morandi, An Introduction to Abstract Algebra Via Application, Department of Mathematical Sciences New Mexico State University Las Cruces NM 88003-8001, 2007.
To cite this article

Samuel Hwere Tsok , Augustine Pwasong , Naphtali B. Jelten , " The Place Of Group Theory On Recent Trends In Information Transmission- Encryption And Decryption ", International Journal of Latest Research in Science and Technology . Vol. 7, Issue 6, pp 18-22 , 2018


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