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Codewords for Projective Planes from Sets of Type (s, t)

✍ Scribed by J.D. Key; M.J. de Resmini

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
311 KB
Volume
15
Category
Article
ISSN
0195-6698

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✦ Synopsis

Let (\Pi^{}) be a projective plane of order (n^{2}) having a Baer subplane (\Pi), and let (C) be the code of (\Pi^{}) over a prime field (\mathbf{F}_{p}), where (p) divides (n). If (\Pi) contains a set (\mathscr{H}) of type ((s, t)), then it is shown that the incidence vectors of certain sets of points defined through (\mathscr{K}) are, subject to some congruence relations, in (C^{\perp}), and sometimes in (C \cap C^{\perp}).

πŸ“œ SIMILAR VOLUMES

Parameters for Sets of Type (m, n) in Pr
Parameters for Sets of Type (m, n) in Projective Planes of Prime Power Order
✍ Mauro Biliotti; Eliana Francot πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 88 KB

A set S of k points in a projective plane of order q is of type (m, n) if each line meets S in either m or n points. The parameters are standard if q=a 2 for a=n&m. In this note we give a method for determining all admissible nonstandard parameters for a given m and q a prime power.