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Calculation of the detection properties in the binary symmetrical channel

Rychtář, Adam, Klapka, Štěpán, Kárná, Lucie (2021)

Programs and Algorithms of Numerical Mathematics

One of the important parts of railway signalling systems design is the safety of communication, achievable - among others - with the error detecting code. Getting evidence of quantitative safety targets, especially the probability of undetected error of the code, is a surprisingly complicated issue. We've analysed 2048 irreducible self-adjoint generator polynomials of the degree 32. More than 70 of these have a maximum probability of failure lower than the standard codes generally used. In this...

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