| Title:
|
Calculation of the detection properties in the binary symmetrical channel (English) |
| Author:
|
Rychtář, Adam |
| Author:
|
Klapka, Štěpán |
| Author:
|
Kárná, Lucie |
| Language:
|
English |
| Journal:
|
Programs and Algorithms of Numerical Mathematics |
| Volume:
|
Proceedings of Seminar. Hejnice, June 21-26, 2020 |
| Issue:
|
2020 |
| Year:
|
|
| Pages:
|
120-128 |
| . |
| Category:
|
math |
| . |
| Summary:
|
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 article we present the best of all codes we've analysed. (English) |
| Keyword:
|
error correcting codes |
| Keyword:
|
error probability |
| Keyword:
|
safety codes |
| MSC:
|
94A40 |
| MSC:
|
94B70 |
| DOI:
|
10.21136/panm.2020.12 |
| . |
| Date available:
|
2021-05-05T13:42:09Z |
| Last updated:
|
2023-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/703107 |
| . |
