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Assmus, E. F. jun.; Mattson, H. F.

Perfect codes and the Mathieu groups. (English) Zbl 0144.26203

Arch. Math. 17, 121-135 (1966).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 1 Review
Cited in 16 Documents

Keywords:

group theory
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References:

[1] E.Artin, Geometric algebra. New York 1957. · Zbl 0077.02101
[2] H. S. M. Coxeter, Twelve points inPG(5,3) with 95,040 selftransformations. Philos. Trans. Roy. Soc. London, Ser. A,247, 279–293 (1958). · Zbl 0082.36207
[3] D. Garbe andJ. L. Mennicke, Some remarks on the Mathieu groups. Canadian Math. Bull.7, 201–212 (1964). · Zbl 0129.01802 · doi:10.4153/CMB-1964-018-3
[4] M. Hall, Note on the Mathieu groupM 12. Arch. Math.13, 334–340 (1962). · Zbl 0109.25704 · doi:10.1007/BF01650080
[5] H. F. Mattson andG. Solomon, A new treatment of Bose-Chaudhuri codes. J. Soc. Indust. Appl. Math.9, 654–669 (1961). · Zbl 0137.13604 · doi:10.1137/0109055
[6] L. J. Paige, A note on the Mathieu groups. Canadian J. Math.9, 15–18 (1956). · Zbl 0077.03203 · doi:10.4153/CJM-1957-003-8
[7] W.Peterson, Error-correcting codes. New York 1961. · Zbl 0105.32802
[8] E. Prange, Codes equivalent under the protective group (III). Air Force Cambridge Research Laboratories, Bedford, Massachusetts, 10 July 1962 (unpublished memorandum).
[9] J. A. Todd, On representations of the Mathieu groups as collineation groups. J. London Math. Soc.34, 406–416 (1959). · Zbl 0089.16801 · doi:10.1112/jlms/s1-34.4.406
[10] E. Witt, Über Steinersche Systeme. Abh. Math. Sem. Univ. Hamburg12, 265–275 (1936). · Zbl 0019.25106 · doi:10.1007/BF02948948
[11] E. Witt, Die 5-fach transitiven Gruppen von Mathieu. Abh. Math. Sem. Univ. Hamburg12, 256–264 (1936). · JFM 64.0963.01 · doi:10.1007/BF02948947
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