| Full text | |
| Author(s): |
Pace, Nicola
[1]
Total Authors: 1
|
| Affiliation: | [1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | JOURNAL OF COMBINATORIAL DESIGNS; v. 22, n. 10, p. 425-434, OCT 2014. |
| Web of Science Citations: | 4 |
| Abstract | |
Let q be an odd prime power such that q is a power of 5 or q equivalent to +/- 1 (mod 10). In this case, the projective plane PG(2, q) admits a collineation group G isomorphic to the alternating group A(5). Transitive G-invariant 30-arcs are shown to exist for every q >= 41. The completeness is also investigated, and complete 30-arcs are found for q = 109, 121, 125. Surprisingly, they are the smallest known complete arcs in the planes PG(2, 109), PG(2, 121), and PG(2, 125). Moreover, computational results are presented for the cases G congruent to A(4) and G congruent to S-4. New upper bounds on the size of the smallest complete arc are obtained for q = 67, 97, 137, 139, 151. (C) 2013 Wiley Periodicals, Inc. (AU) | |
| FAPESP's process: | 12/03526-0 - Finite geometry, Algebraic curves and Applications to Coding Theory |
| Grantee: | Nicola Pace |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |