Abstract
It is possible to produce self-orthogonal codes from the incidence matrices of symmetric (v,k,λ)-designs. We describe four such methods here, where M is the incidence matrix of the design. Method 3, however, is the one which we exploit in the sequel
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References
M. Aschbacher, “On collineation groups of symmetric block designs,” J. Combinatorial Theory11(1971), 272–281
P. J. Cameron, “Biplanes,” Math. Zeitsch 13 (1973), 85–101
M. Hall, Jr., R. Lane, D. Wales, “Designs derived from permutation groups,” Combinatorial Theory, 8 (1970), 12–22
D. R. Hughes, “Generalized incidence matrices over group algebras,” Ilj. J. Math. 1 (1957), 545–551
W. Jonsson, “The (56,11,2) design of Hall, Lane, and Wales,” J. Combinatorial Theory, 14 (1973), 113–118
H. Lüneburg, “Charakterisierungen der endlichen desarguesschen projektiven Ebenen,”Math. Zeitsch 85 (1964), 419–450
F. J. MacWilliams, N. J. A. Sloane, J. G. Thompson, “On the existence of a projective plane of order 10,” J. Combinatorial Theory, 14 (1973), 66–78
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© 1977 D. Reidel Publishing Company, Dordrecht-Holland
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Assmus, E.F., Mezzaroba, J.A., Salwach, C.J. (1977). Planes and Biplanes. In: Aigner, M. (eds) Higher Combinatorics. NATO Advanced Study Institutes Series, vol 31. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1220-1_13
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DOI: https://doi.org/10.1007/978-94-010-1220-1_13
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-1222-5
Online ISBN: 978-94-010-1220-1
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