A computer search for finite projective planes of order 9
Discrete Mathematics
The translation planes of order twenty-five
Journal of Combinatorial Theory Series A
Designs and their codes
The translation planes of order 49
Designs, Codes and Cryptography
Hyperovals and unitals in Figueroa planes
European Journal of Combinatorics
Dual codes of translation planes
European Journal of Combinatorics
On Sets without Tangents in Galois Planes of Even Order
Designs, Codes and Cryptography
On (q + t, t)-Arcs of Type (0, 2, t)
Designs, Codes and Cryptography
An upper bound for the minimum weight of the dual codes of desarguesian planes
European Journal of Combinatorics
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Existing bounds on the minimum weight d 驴 of the dual 7-ary code of a projective plane of order 49 show that this must be in the range 76 驴 d 驴 驴 98. We use combinatorial arguments to improve this range to 88 驴 d 驴 驴 98, noting that the upper bound can be taken to be 91 if the plane has a Baer subplane, as in the desarguesian case. A brief survey of known results for the minimum weight of the dual codes of finite projective planes is also included.