Minimum template groups in PG(2,q) and finding minimum template groups size 16&17 in PG(2,9)
Abstract<br /> A t - blocking set B in a projective plane PG(2, q) is a set of points such that each line in PG(2, q) contains at least t points of B and some line contains exactly t points of B.<br /> A t - blocking set B is minimal or irreducible when no proper subset of it is a t - bl...
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| Format: | Book |
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College of Education for Pure Sciences,
2009-06-01T00:00:00Z.
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| Summary: | Abstract<br /> A t - blocking set B in a projective plane PG(2, q) is a set of points such that each line in PG(2, q) contains at least t points of B and some line contains exactly t points of B.<br /> A t - blocking set B is minimal or irreducible when no proper subset of it is a t - blocking set. In particular when t = 1 then B is called a blocking set.<br /> In this paper, we find the lower bounds of the 5 - blocking set and the 6-blocking set In the projective plane PG(2, q), where q square, Then we improved the lower bound of 5- blocking set when in the same plane.<br /> Specially in the projective plane PG(2, 9):<br /> First: We show that the minimal blocking set of size 16 with a 6 - secant and the minimal blocking set of the same size of Rédei-type exist.<br /> Second: We classify the minimal blocking sets of size 17. |
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| Item Description: | 1812-125X 2664-2530 10.33899/edusj.2009.57688 |