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Volumn 1, Issue 1, 2005, Pages 133-141

Construction of (n, r)-arcs in P G(2, q)

Author keywords

arcs; blocking set; group of automor phisms; incidence matrix; lattice point enumeration; projective plane

Indexed keywords


EID: 29144443181     PISSN: 26407337     EISSN: 26407345     Source Type: Journal    
DOI: 10.2140/iig.2005.1.133     Document Type: Article
Times cited : (29)

References (7)
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    • Multiple blocking sets and arcs in finite planes
    • [2] A. Betten, A. Kerber, A. Kohnert, R. Laue and A. Wassermann, The discovery of simple 7-designs with automorphism group P ΓL(2, 32), Lect. Notes Comput. Sci. 948 (1995), 131–145. [3] M. Braun, Construction of linear codes with large minimum distance, IEEE Transactions on Information Theory 50 (2004). [4] M. Braun, A. Kohnert and A. Wassermann, Optimal linear codes from matrix groups, Submitted. [5] M. Braun and J. Sarmiento, Parallelisms in projective geometries with a prescribed group of automorphisms, Submitted. [6] M. Braun, A. Kerber and R. Laue, Systematic construction of q-analogs of designs, Des. Codes Cryptogr. 34 (2005), 51–66. [7] R. Daskalov, On the existence and the nonexistence of some (k, r)-arcs in P G(2, 17), in: Proceedings of Ninth International Workshop on Algebraic and Combinatorial Coding Theory, Kranevo, Bulgaria, June 19–25 2004 (2004), 95–100. [8] R. Daskalov and M. E. J. Contreras, New (k, r)-arcs in the projective plane of order thirteen, J. Geom. 80 (2004), 10–22. [9] R. Daskalov and E. Metodieva, New (k, r)-arcs in P G(2, 17) and the related optimal linear codes, Mathematica Balkanica, New Series 18 (2004), 121–127
    • S. Ball, Multiple blocking sets and arcs in finite planes, J. Lond. Math. Soc. 54 (1996), 581–593. [2] A. Betten, A. Kerber, A. Kohnert, R. Laue and A. Wassermann, The discovery of simple 7-designs with automorphism group P ΓL(2, 32), Lect. Notes Comput. Sci. 948 (1995), 131–145. [3] M. Braun, Construction of linear codes with large minimum distance, IEEE Transactions on Information Theory 50 (2004). [4] M. Braun, A. Kohnert and A. Wassermann, Optimal linear codes from matrix groups, Submitted. [5] M. Braun and J. Sarmiento, Parallelisms in projective geometries with a prescribed group of automorphisms, Submitted. [6] M. Braun, A. Kerber and R. Laue, Systematic construction of q-analogs of designs, Des. Codes Cryptogr. 34 (2005), 51–66. [7] R. Daskalov, On the existence and the nonexistence of some (k, r)-arcs in P G(2, 17), in: Proceedings of Ninth International Workshop on Algebraic and Combinatorial Coding Theory, Kranevo, Bulgaria, June 19–25 2004 (2004), 95–100. [8] R. Daskalov and M. E. J. Contreras, New (k, r)-arcs in the projective plane of order thirteen, J. Geom. 80 (2004), 10–22. [9] R. Daskalov and E. Metodieva, New (k, r)-arcs in P G(2, 17) and the related optimal linear codes, Mathematica Balkanica, New Series 18 (2004), 121–127.
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    • Ball, S.1
  • 4
    • 0038582500 scopus 로고    scopus 로고
    • The packing problem in statistics, coding theory and finite projective spaces, Update 2001
    • Chelwood Gate, July 16–21, (2001)
    • J. W. P. Hirschfeld and L. Storme, The packing problem in statistics, coding theory and finite projective spaces, Update 2001, in: Finite Geometries, Proceedings of the Fourth Isle of Thorns Conference, Chelwood Gate, July 16–21, 2000 (2001), 201–246.
    • (2000) Finite Geometries, Proceedings of the Fourth Isle of Thorns Conference , pp. 201-246
    • Hirschfeld, J. W. P.1    Storme, L.2
  • 6
    • 0038575550 scopus 로고
    • t-designs on hypergraphs
    • E. Kramer and D. Mesner, t-designs on hypergraphs, Discrete Math. 15 (1976), 263–296.
    • (1976) Discrete Math , vol.15 , pp. 263-296
    • Kramer, E.1    Mesner, D.2
  • 7
    • 0001912075 scopus 로고    scopus 로고
    • Finding simple t-designs with enumeration techniques
    • A. Wassermann, Finding simple t-designs with enumeration techniques, J. Combin. Des. 6 (1998), 79–90.
    • (1998) J. Combin. Des , vol.6 , pp. 79-90
    • Wassermann, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.