{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,30]],"date-time":"2026-07-30T01:43:00Z","timestamp":1785375780514,"version":"3.55.0"},"reference-count":17,"publisher":"Walter de Gruyter GmbH","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2022,1,27]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>A fundamental measure of safety communication is the residual error probability, i.\u2009e., the probability of undetected errors. For the detection of data errors, typically a Cyclic Redundancy Check (CRC) is applied, and the resulting residual error probability is determined based on the Binary Symmetric Channel (BSC) model. The use of this model had been questioned since several error types cannot be sufficiently described. Especially the increasing introduction of security algorithms into underlying communication layers requires a more adequate channel model. This paper introduces an enhanced model that extends the list of considered data error types by combining the BSC model with a Uniformly Distributed Segments (UDS) model. Although models beyond BSC are applied, the hitherto method of the calculation of the residual error probability can be maintained.<\/jats:p>","DOI":"10.1515\/auto-2021-0098","type":"journal-article","created":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T13:16:53Z","timestamp":1641993413000},"page":"38-52","source":"Crossref","is-referenced-by-count":2,"title":["Enhancement of safety communication model"],"prefix":"10.1515","volume":"70","author":[{"given":"Frank","family":"Schiller","sequence":"first","affiliation":[{"name":"Beckhoff Automation GmbH & Co. KG , Ostendstr. 196 , Nuremberg , Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Dan","family":"Judd","sequence":"additional","affiliation":[{"name":"Arlington Laboratory Corporation , Massachusetts , USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Peerasan","family":"Supavatanakul","sequence":"additional","affiliation":[{"name":"T\u00dcV S\u00dcD Japan Ltd. , Shin-Osaka Trust Tower 12F, 3-5-36, Miyahara, Yodogawa-ku , Osaka , Japan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tina","family":"Hardt","sequence":"additional","affiliation":[{"name":"Arendar IT-Security GmbH , Am Kleinen Rotenberg 21 , Wittlich , Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Felix","family":"Wieczorek","sequence":"additional","affiliation":[{"name":"Siemens AG, Cybersecurity , Otto-Hahn-Ring 6 , Munich , Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"374","published-online":{"date-parts":[[2022,1,13]]},"reference":[{"key":"2023033111590349455_j_auto-2021-0098_ref_001","unstructured":"Bertsekas, D.P. and R.G. 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Capacity of Burst-Noise Channel. The Bell System Technical Journal 39(5): 1253\u20131265 Nokia Bell Labs.","DOI":"10.1002\/j.1538-7305.1960.tb03959.x"},{"key":"2023033111590349455_j_auto-2021-0098_ref_006","doi-asserted-by":"crossref","unstructured":"Horch, A., H. Hannen, H. Schween and K. Wagner. 2019. Verschl\u00fcsselung sicherer Kommunikation. atp magazin 06-07\/2019: 93\u201399 (in German).","DOI":"10.17560\/atp.v61i6-7.2412"},{"key":"2023033111590349455_j_auto-2021-0098_ref_007","unstructured":"IEC: Functional Safety of Electrical\/Electronic\/Programmable Electronic Safety-related Systems, Part 1, IEC 61508-1, 2010."},{"key":"2023033111590349455_j_auto-2021-0098_ref_008","unstructured":"IEC: Safety of machinery: Functional safety of electrical, electronic, and programmable electronic control systems, IEC 62061, 2021."},{"key":"2023033111590349455_j_auto-2021-0098_ref_009","unstructured":"IEC: Functional safety fieldbuses \u2013 General rules and profile definitions, IEC 61784-3, 2021."},{"key":"2023033111590349455_j_auto-2021-0098_ref_010","unstructured":"Lin, S. and D. Costello. 2004. Error Control Coding. Pearson Prentice Hall, Pearson Education."},{"key":"2023033111590349455_j_auto-2021-0098_ref_011","doi-asserted-by":"crossref","unstructured":"Peterson, W.W. and D.T. Brown. 1961. Cyclic Codes for Error Detection. Proceedings of the IRE 49: 228\u2013235.","DOI":"10.1109\/JRPROC.1961.287814"},{"key":"2023033111590349455_j_auto-2021-0098_ref_012","unstructured":"Peterson, W.W. and E.J. Weldon. 1961. Error-correction Codes. MIT Press."},{"key":"2023033111590349455_j_auto-2021-0098_ref_013","unstructured":"Schiller, F. and T. Mattes. 2006. An Efficient Method to Evaluate CRC-Polynomials for Safety-Critical Industrial Communication. Journal of Applied Computer Science 14(1): 57\u201380. Technical University Press, \u0141\u00f3d\u017a, Poland."},{"key":"2023033111590349455_j_auto-2021-0098_ref_014","doi-asserted-by":"crossref","unstructured":"Schiller, F. and T. Mattes. 2006. Analysis of CRC-polynomials for Safety-critical Communication by Deterministic and Stochastic Automata. In: 6th IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes, SAFEPROCESS 2006, Beijing, China, pp.\u20091003\u20131008.","DOI":"10.1016\/B978-008044485-7\/50159-7"},{"key":"2023033111590349455_j_auto-2021-0098_ref_015","unstructured":"Schiller, F., T. Mattes, H. B\u00fcttner and J. Sachs. 2007. In: A New Method to Obtain Sufficient Independency of Nested Cyclic Redundancy Checks. 5th Int. Conference on Safety of Industrial Automated Systems, SIAS 2007, Tokyo, Japan, pp.\u2009149\u2013154."},{"key":"2023033111590349455_j_auto-2021-0098_ref_016","doi-asserted-by":"crossref","unstructured":"Schiller, F. and F. Wieczorek. 2020. Safety-Analyse f\u00fcr Security-gesch\u00fctzte Kommunikation. atp magazin 04\/2020: 86\u201392 (in German).","DOI":"10.17560\/atp.v62i4.2474"},{"key":"2023033111590349455_j_auto-2021-0098_ref_017","unstructured":"Wacker, H.D. and J. Boercsoek. 2008. Binomial and monotonic behaviour of the probability of undetected error and the \n\n\n2\n\n\n\u2212\nr\n\n{2^{-r}}-bound. WSEAS Transactions on Communications 7: 188\u2013197."}],"container-title":["at - Automatisierungstechnik"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/auto-2021-0098\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/auto-2021-0098\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T16:26:21Z","timestamp":1680279981000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/auto-2021-0098\/html"}},"subtitle":["Preserving the black channel concept"],"short-title":[],"issued":{"date-parts":[[2022,1,1]]},"references-count":17,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2022,1,13]]},"published-print":{"date-parts":[[2022,1,27]]}},"alternative-id":["10.1515\/auto-2021-0098"],"URL":"https:\/\/doi.org\/10.1515\/auto-2021-0098","relation":{},"ISSN":["2196-677X","0178-2312"],"issn-type":[{"value":"2196-677X","type":"electronic"},{"value":"0178-2312","type":"print"}],"subject":[],"published":{"date-parts":[[2022,1,1]]}}}