Math @ Duke

Publications [#236012] of Robert Calderbank
Papers Published
 Brouwer, AE; Calderbank, AR, An ErdösKoRado theorem for regular intersecting families of octads,
Graphs and Combinatorics, vol. 2 no. 1
(1986),
pp. 309316, ISSN 09110119 [doi]
(last updated on 2018/03/20)
Abstract: Codewords of weight 8 in the [24, 12] binary Golay code are called octads. A family ℱ of octads is said to be a regular intersecting family if ℱ is a 1design and x ∩ y ≠ 0 for all x, y ∈ ℱ. We prove that if ℱ is a regular intersecting family of octads then ℱ ≤ 69. Equality holds if and only if ℱ is a quasisymmetric 2(24, 8, 7) design. We then apply techniques from coding theory to prove nonexistence of this extremal configuration. © 1986 SpringerVerlag.


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