42-arcs in PG(2, q) left invariant by PSL(2, 7)

Author:

Indaco Lucia,Korchmáros Gábor

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications

Reference23 articles.

1. Abatangelo V.: Doubly transitive (n + 2)-arcs in projective planes of even order n. J. Combin. Theory Ser. 42, 1–8 (1986)

2. Behr H., Mennicke J.: A presentation of the groups PSL(2, p). Canad. J. Math. 20, 1432–1438 (1968)

3. Cannon J.J., Bosma W. (eds.): Handbook of Magma Functions, Edition 2.13 (2006).

4. Chao J.M., Kaneta H.: A complete 24-arc in PG(2, 29) with the autom orphism group PSL(2, 7). Rend. Mat. Appl. 16, 537–544 (1996)

5. Cossidente A., Korchmáros G.: The Hermitian function field arising from a cyclic arc in a Galois plane. Geometry, Combinatorial Designs and Related Structures. London Math. Soc. Lecture Note Ser. 245, Cambridge University Press, Cambridge, 63–68 (1997).

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1. On the existence of PD-sets: Algorithms arising from automorphism groups of codes;Advances in Mathematics of Communications;2021

2. Transitive PSL(2,11)-invariant k-arcs in PG(4,q);Designs, Codes and Cryptography;2018-11-29

3. On linear codes admitting large automorphism groups;Designs, Codes and Cryptography;2016-04-23

4. On Small Complete Arcs and Transitive A5-Invariant Arcs in the Projective Plane PG(2,q);Journal of Combinatorial Designs;2013-08-23

5. Transitive $$\text{ PSL}(2,7)$$ -invariant 42-arcs in 3-dimensional projective spaces;Designs, Codes and Cryptography;2012-12-04

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