27 lines
2.8 KiB
Markdown
27 lines
2.8 KiB
Markdown
---
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title: "Association scheme"
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chunk: 3/3
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source: "https://en.wikipedia.org/wiki/Association_scheme"
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category: "reference"
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tags: "science, encyclopedia"
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date_saved: "2026-05-05T09:48:58.210111+00:00"
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instance: "kb-cron"
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---
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== References ==
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Bailey, Rosemary A. (2004), Association Schemes: Designed Experiments, Algebra and Combinatorics, Cambridge University Press, ISBN 978-0-521-82446-0, MR 2047311. (Chapters from preliminary draft are available on-line.)
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Bannai, Eiichi; Ito, Tatsuro (1984), Algebraic combinatorics I: Association schemes, Menlo Park, CA: Benjamin/Cummings, ISBN 0-8053-0490-8, MR 0882540
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Bose, R. C.; Mesner, D. M. (1959), "On linear associative algebras corresponding to association schemes of partially balanced designs", Annals of Mathematical Statistics, 30 (1): 21–38, doi:10.1214/aoms/1177706356, JSTOR 2237117, MR 0102157
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Bose, R. C.; Nair, K. R. (1939), "Partially balanced incomplete block designs", Sankhyā, 4 (3): 337–372, JSTOR 40383923
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Bose, R. C.; Shimamoto, T. (1952), "Classification and analysis of partially balanced incomplete block designs with two associate classes", Journal of the American Statistical Association, 47 (258): 151–184, doi:10.1080/01621459.1952.10501161
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Camion, P. (1998), "18. Codes and Association Schemes: Basic Properties of Association Schemes Relevant to Coding", in Pless, V.S.; Huffman, W.C.; Brualdi, R.A. (eds.), Handbook of Coding Theory, vol. 1, Elsevier, pp. 1441–, ISBN 978-0-444-50088-5
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Delsarte, P. (1973), "An Algebraic Approach to the Association Schemes of Coding Theory", Philips Research Reports (Supplement No. 10), OCLC 641852316
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Delsarte, P.; Levenshtein, V. I. (1998). "Association schemes and coding theory". IEEE Transactions on Information Theory. 44 (6): 2477–2504. doi:10.1109/18.720545.
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Dembowski, P. (1968), Finite Geometries, Springer, ISBN 978-3-540-61786-0
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Godsil, C. D. (1993), Algebraic Combinatorics, New York: Chapman and Hall, ISBN 0-412-04131-6, MR 1220704
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MacWilliams, F.J.; Sloane, N.J.A. (1977), The Theory of Error Correcting Codes, North-Holland Mathematical Library, vol. 16, Elsevier, ISBN 978-0-444-85010-2
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Street, Anne Penfold; Street, Deborah J. (1987), Combinatorics of Experimental Design, Oxford U. P. [Clarendon], ISBN 0-19-853256-3
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van Lint, J.H.; Wilson, R.M. (1992), A Course in Combinatorics, Cambridge University Press, ISBN 0-521-00601-5
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Zieschang, Paul-Hermann (2005a), "Association Schemes: Designed Experiments, Algebra and Combinatorics by Rosemary A. Bailey, Review" (PDF), Bulletin of the American Mathematical Society, 43 (2): 249–253, doi:10.1090/S0273-0979-05-01077-3
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Zieschang, Paul-Hermann (2005b), Theory of association schemes, Springer, ISBN 3-540-26136-2
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Zieschang, Paul-Hermann (2006), "The exchange condition for association schemes", Israel Journal of Mathematics, 151 (3): 357–380, doi:10.1007/BF02777367, MR 2214129, S2CID 120009352 |