Title: | Computational Methods for Classification of Codes Laskennallisia mentelmiä koodien luokitteluun |
Author(s): | Kokkala, Janne I. |
Date: | 2017 |
Language: | en |
Pages: | 71 + 75 |
Department: | Tietoliikenne- ja tietoverkkotekniikan laitos Department of Communications and Networking |
ISBN: | 978-952-60-7580-8 (electronic) 978-952-60-7581-5 (printed) |
Series: | Aalto University publication series DOCTORAL DISSERTATIONS, 159/2017 |
ISSN: | 1799-4942 (electronic) 1799-4934 (printed) 1799-4934 (ISSN-L) |
Supervising professor(s): | Östergård, Patric, Prof., Aalto University, Department of Communications and Networking, Finland |
Subject: | Computer science, Mathematics |
Keywords: | algorithm, classification, MDS code, covering array, chromatic number, algoritmi, luokittelu, MDS-koodi, peittotaulukko, kromaattinen luku |
Archive | yes |
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Abstract:Digitaalisessa viestinnässä ja tiedontallennusjärjestelmissä keskeinen ongelma on löytää hyviä koodausmenetelmiä, joilla voidaan siirtää tai tallentaa tietoa tehokkaasti tilanteissa, joissa voi esiintyä virheitä. Monet koodausteorian ongelmat voidaan esittää kombinatoristen objektien avulla, ja näitä ongelmia voidaan ratkoa teoreettisilla ja laskennallisilla menetelmillä. |
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Parts:[Publication 1]: Janne I. Kokkala, Patric R. J. Östergård. Classification of Graeco-Latin cubes. Journal of Combinatorial Designs, 23, 509–521, 2015. DOI: 10.1002/jcd.21400 View at Publisher [Publication 2]: Janne I. Kokkala, Denis S. Krotov, Patric R. J. Östergård. On the classification of MDS codes. IEEE Transactions on Information Theory, 61, 6485–6492, 2015. DOI: 10.1109/TIT.2015.2488659 View at Publisher [Publication 3]: Janne I. Kokkala, Patric R. J. Östergård. Further results on the classification of MDS codes. Advances in Mathematics of Communications, 10, 489–498, 2016. DOI: 10.3934/amc.2016020 View at Publisher [Publication 4]: Janne I. Kokkala, Karen Meagher, Reza Naserasr, Kari J. Nurmela, Patric R. J. Östergård, Brett Stevens. Bounds, structure, and classification of small strength 2 covering arrays. Submitted to Electronic Journal of Combinatorics, 2017[Publication 5]: Janne I. Kokkala, Patric R. J. Östergård. The chromatic number of the square of the 8-cube. Accepted for publication in Mathematics of Computation, 2017 |
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