An Application of Co-medial Algebras with Quasigroup Operations on Cryptology

Volume 10, Issue 2, pp 113-118 http://dx.doi.org/10.22436/jmcs.010.02.04

Download PDF

Download XML

• Export citations
  • CITATIONS & REFERENCES
  • EndNote (.ENW)
  • Mendeley, JabRef (.BIB)
  • Papers, Zotero, Reference Manager, RefWorks (.RIS)
  • ARTICLE CITATION
  • EndNote (.ENW)
  • Mendeley, JabRef (.BIB)
  • Papers, Zotero, Reference Manager, RefWorks (.RIS)
  • REFERENCES
  • EndNote (.ENW)
  • Mendeley, JabRef (.BIB)
  • Papers, Zotero, Reference Manager, RefWorks (.RIS)

• 2453 Downloads
• 3438 Views

Authors

Amir Ehsani - Department of Mathematics, College of Polymer, Mahshahr Branch, Islamic Azad University, Mahshahr, Iran.

Abstract

A modification of Markovski quasigroup based crypto-algorytm has been presented. This modification is based on the pair of co-medial quasigroup operations, which we show that they are orthogonal quasigroup operations.

Share and Cite

Keywords

• co-medial pair of operations
• quasigroup operation
• orthogonal operations
• cryptology
• cipher-text
• enciphering.

MSC

•  94A60
•  20N05

References

• [1] V. D. Belousov, The group associated with a quasigroup, Mat. Issled., 4(3) (1969), 21 – 39.
  • MathSciNet
  • Google Scholar


• [2] A. Ehsani, The Generalized entropic property for the pair of operations, Journal of ContemporaryMathematical Analysis , 46(1) (2011), 29-34.
  • View Article
  • MathSciNet
  • Google Scholar
  • MATH


• [3] A. Ehsani , On Regular Co-medial Algebras, J. Mathematics Research , 4(2) (2012), 101-109.
  • View Article
  • MathSciNet
  • Google Scholar


• [4] A. Ehsani, On Medial-like Functional Equations, Mathematical Problems of ComputerScience , 38 (2012), 53-55.
  • Google Scholar


• [5] A. Ehsani, Yu. M. Movsisyan, Linear Representation of Medial-like Algebras, Communications in Algebra , 41(9) (2013), 3429-3444.
  • View Article
  • MathSciNet
  • Google Scholar
  • MATH


• [6] V. Domashev, V. Popov, D. Pravikov, I. Prokof’ev, A. Shcherbakov, Programming of algorithms of defense of information, Nolidge, Moscow (2000)
  • Google Scholar


• [7] H. Feistel, Cryptography and computer privacy, Scientific American , 228(5) (1973), 15–23.
  • Google Scholar


• [8] S. H. Kamali, M. Hedayati, R. Shakerian, S. Ghasempour, Using Identity-Based Secret Public Keys Cryptography for Heuristic Security Analyses in Grid Computing, The Journal of Mathematics and Computer Science , 3(4) (2011), 357-375.
  • View Article
  • Google Scholar


• [9] S. Markovski, D. Gligoroski, S. Andova, Using quasigroups for one-one secure encoding, In Proc. VIII Conf. Logic and Computer Science ”LIRA97”, Novi Sad, (1997), 157–167.
  • Google Scholar
  • MATH


• [10] S. Markovski, D. Gligoroski, V. Bakeva, Quasigroup string processing , Part 1, Contributions, Sec. Math. Tech. Sci., MANU, XX, (1-2) (1999), 13–28.
  • Google Scholar


• [11] S. Markovski, V. Kusakatov, Quasigroup string processing, Part 2, Contributions, Sec. Math.Tech. Sci., MANU, XXI, (1-2) (2000), 15–32.
  • MathSciNet
  • Google Scholar


• [12] A. J. Menezes, P. C. Van Oorschot, S. A. Vanstone, Handbook of Applied Cryptography, CRC Press, Boca Raton, FL (1997)
  • MathSciNet
  • Google Scholar


• [13] N. A. Moldovyan, Problems and methods of cryptology, S.Petersburg University Press, S.Petersburg (1998)


• [14] G. L. Mullen, V. A. Shcherbacov, Onorthogonality of binary operations and squares, BULETINUL ACADEMIEI DE STIINTE A REPUBLICII MOLDOVA. MATEMATICA , 2(48) (2005), 3–42.
  • Google Scholar


• [15] H. O. Pflugfelder, Quasigroups and Loops, Introduction,HeldermannVerlag, Berlin (1990)
  • Google Scholar


• [16] A. Romanowska, J. D. H. Smith, Modes, World Scientific, River Edge, New Jersey (2002)