**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**32129

##### Block Cipher Based on Randomly Generated Quasigroups

**Authors:**
Deepthi Haridas,
S Venkataraman,
Geeta Varadan

**Abstract:**

**Keywords:**
quasigroups,
latin squares,
block cipher and
quasigroup string transformations.

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1077277

**References:**

[1] A. J. Menezes, P.C. Van Oorschot, S.A. Vanstone, Handbook of Applied Cryptography, CRC Press 1997

[2] J. Dénes and A. D. Keedwell, Latin Squares. New Developments in the Theory and Applications, North-Holland Publishing Co., Amsterdam, 1981.

[3] J. Dénes and A. D. Keedwell: A New Authentication Scheme based on Latin Squares, Discrete Mathematics, no. 106/107, (1992), pp. 157-162.

[4] Hall, M.: Combinatorial theory, Blaisdell Publishing Company, 1967.

[5] Bakhtiari, S., Safavi-Naini, R., Pieprzyk, J., "A Message Authentication Code Based on Latin Squares, Proc. Australasian Conference on Information Security and Privacy", pp. 194-203, 1997.

[6] S. Markovski, D. Gligoroski, S. Andova, Using quasigroups for one-one secure encoding, Proc. VIII Conf. Logic and Computer Science "LIRA -97", Novi Sad, pp. 157-162, 1997.

[7] S. Markovski, D. Gligoroski, B. Stoj─ìevska, Secure two-way on-line communication by using quasigroup enciphering with almost public key, Novi Sad Journal of Mathematics, vol. 30, 2000.

[8] S.I. Marnas, L. Angelis and G.L. Bleris, All-Or-Nothing Transform Using Quasigroups, Proc. 1st Balkan Conference in Informatics, pp. 183-191, 2003.

[9] V. A. Shcherbacov, On linear and inverse quasigroups and its applications in code theory, 2003, www.karlin.mff.cuni.cz/drapal/speccurs.pdf

[10] D. Gligoroski, S. Markovski, L. Kocarev, EdonR, An Infinite Family of Cryptographic Hash functions, International Journal of Network Security, Vol. 8(3), pp. 293-300, 2009

[11] D. Gligoroski, Edon - library of reconfigurable cryptographic primitives suitable for embedded systems, Workshop on cryptographic hardware and embedded systems, 2003.

[12] S. Markovski, D. Gligoroski, V. Bakeva: Quasigroup String Processing: Part 1, Maced. Acad. of Sci. and Arts, Sc. Math. Tech. Scien. XX 1-2, pp. 13-28, 1999.

[13] S. Markovski, V. Kusakatov: Quasigroup String Processing: Part 2, Contributions, Sec. math. Tech.Sci., MANU, XXI, vol. 1-2, pp. 15-32 2000.

[14] D. Gligoroski, Stream Cipher based on Quasigroup string transformations in ZZP *, arXiv:cs.CR/0403043, Macedonian Academy of Science and Arts, annual Proceedings in Mathematical and Technical Sciences, 2004.

[15] Kościelny, C.: Generating Quasigroups for cryptographic applications, Int. J. Appl. Math. Sci., Vol. 12, No.4, pp. 559-569, 2002.

[16] Kościelny, C.: A method of constructing quasigroup-based streamciphers. Appl. Math. and Comp. Sci. vol 6,pp. 109-121, 1996.

[17] Roman Bart├ík, On generators of Random Quasigroup Problems, In proc. Of ERCIM 05 workshop, pp. 264-278, 2006.

[18] M Hassinen, S Markoviski, Differential Cryptanalysis of the quasigroup cipher, Proceedings of the Finnish Data Processing Week, Petrozavodsk, Russia. Petrozavodsk State University, (2004).

[19] D. Gligoroski, S. Markovski, Cryptographic potentials of quasigroup transformations, Talk at EIDMA Cryptography Working Group, Utrecht, 2003.

[20] McKay, B.D., Rogoyski, E.:Latin squares of order 10, Electronic J. Comb.2,1995, http://ejc.math.gatech.edu:8080/Journal/journalhome.html