On the extendability of code isometries

Journal of Geometry

Volumn 61, Issue 1-2, 1998, Pages 3-16

  Solov'eva, Faina I ^a   Avgustinovich, Sergei V ^a   Honold, Thomas ^b   Heise, Werner ^b  

^a SOBOLEV INSTITUTE OF MATHEMATICS   (Russian Federation)

^b TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 54649084457     PISSN: 00472468     EISSN: 14208997     Source Type: Journal    
DOI: 10.1007/bf01237489     Document Type: Article

References (19)

1. L. M. Batten and A. Beutelspacher. The Theory of Finite Linear Spaces. Cambridge University Press, 1993.
2. T. Beth, D. Jungnickel, and H. Lenz. Design Theory. Bibliographisches Institut, Zürich, 1985. Reprinted by Cambridge University Press 1993.
3. P. J. Cameron. Combinatorics: Topics, Techniques, Algorithms. Cambridge University Press, 1994.
4. P. J. Cameron and J. H. van Lint. Graphs, Codes and Designs. Number 43 in London Mathematical Society Lecture Note Series. Cambridge University Press, 1980. A revised edition of these notes is [5].
5. P. J. Cameron and J. H. van Lint. Designs, Graphs, Codes and their Links. Number 22 in London Mathematical Society Student Texts. Cambridge University Press, 1991. Revised edition of [4].
6. I. Constantinescu and W. Heise. On the concept of code-isomorphy. Journal of Geometry, 57:63-69, 1996.
7. N. G. de Bruijn and P. Erdos. On a combinatorial problem. Indagationes Mathematicae, 10:421-423, 1948.
8. S. W. Golomb and E. C. Posner. Rook domains, latin squares, affine planes, and error-distributing codes. IEEE Transactions on Information Theory, 10:196-208, 1964.
9. W. Heise and P. Quattrocchi. Una puntualizzazione sui piani di Laguerre. Atti Sem. Mat. Fis. Univ. Modena, 27:222-224, 1978.
10. W. Heise and P. Quattrocchi. Informations- und Codierungstheorie. Springer-Verlag, Berlin, 3. Auflage, 1995.
11. W. Heise and H. Seybold. Das Existenzproblem der Möbius-, Laguerre- und Minkowski-Erweiterungen endlicher affiner Ebenen. Sitzungsberichte der Bayerischen Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse, pages 43-58, 1975. Reprinted in [14], pp. 263-278.
12. G. A. Kabatyanskii and V. I. Levenshtein. Bounds for packings on a sphere and in space. Problems of Information Transmission, 14(1):1-17, 1978. English translation of [8].
13. H. Karzel and K. Sörensen, editors. Wandel von Begriffsbildungen in der Mathematik, Wissenschaftliche Buchgesellschaft Darmstadt, 1984.
14. P. M. Neumann and C. E. Praeger. An inequality for tactical configurations. Bulletin of the London Mathematical Society, 28:471-475, 1996.
15. (On nonisometry of perfect binary codes), CO PAH, 27:3-5, 1994.
16. O. Taussky and J. Todd. Covering theorems for Abelian groups. Ann. Soc. Polonaise de Math., 21:303-305, 1948.
17. P. M. Winkler. Isometric embeddings in products of complete graphs. Discrete Applied Mathematics, 7:221-225, 1984.
18. S. K. Zaremba. A covering theorem for Abelian groups. Journal of the London Mathematical Society (1), 26:71-72, 1951.