Book Review
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MathSciNet review:
1568122
Full text of review:
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Book Information:
Author:
Jr. E. F. Assmus, and J. D. Key
Title:
Designs and their codes
Additional book information:
Cambridge University Press, London and New York, 1992, x + 352 pp., US$69.95. ISBN 0-521-41361-3.
[1] E. F. Assmus, Jr. and H. F. Mattson, Jr., On the possibility of a projective plane of order 10, Algebraic Theory of Codes II, Air Force Cambridge Research Laboratories Report AFCRL-71-0013, Sylvania Electronic Systems, Needham Heights, MA, 1970.
Thomas Beth, Dieter Jungnickel, and Hanfried Lenz, Design theory, Bibliographisches Institut, Mannheim, 1985. MR 779284
D. R. Hughes and F. C. Piper, Design theory, Cambridge University Press, Cambridge, 1985. MR 812053, DOI 10.1017/CBO9780511566066
C. W. H. Lam, The search for a finite projective plane of order $10$, Amer. Math. Monthly 98 (1991), no. 4, 305–318. MR 1103185, DOI 10.2307/2323798
C. W. H. Lam, L. Thiel, S. Swiercz, and J. McKay, The nonexistence of ovals in a projective plane of order $10$, Discrete Math. 45 (1983), no. 2-3, 319–321. MR 704249, DOI 10.1016/0012-365X(83)90049-3
[6] J. H. van Lint, Introduction to coding theory, Graduate Texts in Math., vol. 86, Springer-Verlag, New York, 1982.
J. H. van Lint and R. M. Wilson, A course in combinatorics, Cambridge University Press, Cambridge, 1992. MR 1207813
[8] F. J. MacWilliams and N. J. A. Sloane, The theory of error-correcting codes, North-Holland, Amsterdam, 1983.
F. J. MacWilliams, N. J. A. Sloane, and J. G. Thompson, On the existence of a projective plane of order $10$, J. Combinatorial Theory Ser. A 14 (1973), 66–78. MR 313089, DOI 10.1016/0097-3165(73)90064-2
- [1]
- E. F. Assmus, Jr. and H. F. Mattson, Jr., On the possibility of a projective plane of order 10, Algebraic Theory of Codes II, Air Force Cambridge Research Laboratories Report AFCRL-71-0013, Sylvania Electronic Systems, Needham Heights, MA, 1970.
- [2]
- Th. Beth, D. Jungnickel, and H. Lenz, Design theory, Bibliographisches Institut Wissenschaftsverlag, Mannheim, Wien, Zürich, 1985. MR 779284 (86j:05026)
- [3]
- D. R. Hughes and F. C. Piper, Design theory, Cambridge Univ. Press, Cambridge, 1985. MR 812053 (87e:05022)
- [4]
- C. W. H. Lam, The search for a finite projective plane of order 10, Amer. Math. Monthly 98 (1991), 305-318. MR 1103185 (92b:51013)
- [5]
- C. W. H. Lam, L. Thiel, S. Swiercz, and J. McKay, The nonexistence of ovals in a projective plane of order 10, Discrete Math. 45 (1983), 319-321. MR 704249 (84h:05028)
- [6]
- J. H. van Lint, Introduction to coding theory, Graduate Texts in Math., vol. 86, Springer-Verlag, New York, 1982.
- [7]
- J. H. van Lint and R. M. Wilson, A course in combinatorics, Cambridge Univ. Press, Cambridge, 1992. MR 1207813 (94g:05003)
- [8]
- F. J. MacWilliams and N. J. A. Sloane, The theory of error-correcting codes, North-Holland, Amsterdam, 1983.
- [9]
- F. J. MacWilliams, N. J. A. Sloane, and J. G. Thompson, On the existence of a projective plane of order 10, J. Combin. Theory Ser. A 14 (1973), 66-78. MR 0313089 (47:1644)
Review Information:
Reviewer:
M. A. Wertheimer
Journal:
Bull. Amer. Math. Soc.
31 (1994), 102-107
DOI:
https://doi.org/10.1090/S0273-0979-1994-00485-9
