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Article

Kárná, Lucie ; Klapka, Štěpán
Detection codes in railway interlocking systems. (English). In: Brandts, J., Korotov, S., Křížek, M., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2013, In honor of the 70th birthday of Karel Segeth. Proceedings. Prague, May 15-17, 2013. Institute of Mathematics AS CR, Prague, 2013. pp. 124-130
MSC: 94B05, 94B70 | MR 3204437 | Zbl 1340.94085
Keywords:
railway interlocking systems; undetected error; safety code; linear binary code; error detection; binary symmetrical channel
Summary:
This paper describes a model of influence of random errors on the safety of the communication. The role of the communication in railway safety is specified. To ensure a safe communication, using of safety code is important. The most important parameter of the safety code is the maximal value of the probability of undetected error. Problems related with computing of this value are outlined in the article. As a model for the information transmission the binary symmetrical channel is introduced. The usability of the concept of a 'proper' code is discussed.
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