Abstract
In this paper we examine some performances of error-correcting codes based on quasigroup transformations proposed elsewhere. In these error-correcting codes, there exists a correlation between any two bits of a codeword. Also, these codes are nonlinear and almost random. We give simulation results of packet-error and bit-error probability for binary symmetric channel and for several parameters of these codes. From these simulation results we can conclude that the performances of these codes depend on the used quasigroup, the length of the initial key and the way of introducing the redundant information.
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References
Shannon, C.E.: A Mathematical Theory of Communication. Bell Sys. Tech. J. 27, 379–423, 623–656 (1948)
Markovski, S., Gligoroski, D., Bakeva, V.: Quasigroup String Processing: Part 1. Maced. Acad. of Sci. and Arts, Sc. Math. Tech. Scien. XX (1-2), 13–28 (1999)
Gligoroski, D., Markovski, S., Kocarev, L.j.: Totally Asynchronous Stream Ciphers + Redundancy = Cryptcoding. In: Aissi, S., Arabnia, H.R. (eds.) Proceedings of the 2007 International Conference on Security and management, SAM 2007, Las Vegas, June 25-28, pp. 446–451. CSREA Press (2007)
Gligoroski, D., Markovski, S., Kocarev, L.j.: Error-Correcting Codes Based on Quasigroups. In: Proceedings of 16th International Conference on Computer Communications and Networks (ICCCN 2007), August 13-16, pp. 165–172 (2007)
Dimitrova, V., Markovski, J.: On Quasigroup Pseudo Random Sequence Generators. In: Proceedings of the 1st Balkan Conference in Informatics, Thessaloniki, Greece, November 21-23, pp. 393–401 (2003)
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Popovska-Mitrovikj, A., Markovski, S., Bakeva, V. (2010). Performances of Error-Correcting Codes Based on Quasigroups. In: Davcev, D., Gómez, J.M. (eds) ICT Innovations 2009. ICT Innovations 2009. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10781-8_39
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DOI: https://doi.org/10.1007/978-3-642-10781-8_39
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-10780-1
Online ISBN: 978-3-642-10781-8
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