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A NOTE ON THE EXISTENCE OF NON-SIMPLE DESIGNS OVER FINITE FIELDS

Year 2012, Volume: 5 Issue: 1, 85 - 89, 30.04.2012

Michael Braun

Abstract


Keywords

Designs over Finite Fields Non-simple Designs

References

  • [1] Braun, M. Designs over Finite Fields. In ALCOMA’05 — Proceedings of the Conference on Algebraic Combinatorics and Applications, Designs and Codes, April 3-10, 2005, Thurnau, Germany. Bayreuther Mathematische Schriften 74:58–68, 2005.
  • [2] Braun, M., Kerber, A. and Laue, R. Systematic Construction of q-Analogs of Designs. De- signs, Codes and Cryptography, 34(1):55–70, 2005.
  • [3] Etzion, T. and Vardy, A. On q-Analogs of Steiner Systems and Covering Designs. Advances in the Mathematics of Communications, Special Issue on ALCOMA’10 — Algebraic Com- binatorics and Applications, April 11-18, 2010, Thurnau, Germany, 5(2):161–176, 2011.
  • [4] Itoh, T. A New Family of 2-Designs over GF (q) Admitting SLm(ql). Geometriae Dedicata, 69:261–286, 1998.
  • [5] Kramer, E. and Mesner, D. t-Designs on Hypergraphs. Discrete Mathematics, 15(3):263–296, 1976.
  • [6] Miyakawa, M., Munemasa, A. and Yoshiara, S. On a Class of Small 2-Designs over GF (q). Journal of Combinatorial Designs, 3:61–77, 1995.
  • [7] Mnukhin, V.B. and Siemons I.J. On the Livingstone-Wagner Theorem. The Electronic Jour- nal of Combinatorics, 11(R29):1–8, 2004.
  • [8] Ray-Chaudhuri, D.K. and Schram, E.J. Designs on Vectorspaces Constructed Using Qua- dratic Forms. Geometriae Dedicata, 42:1–42, 1992.
  • [9] Schwartz, M. and Etzion, T. Codes and Anticodes in the Grassman Graph. Journal of Com- binatorial Theory, Series A, 97:27–42, 2002.
  • [10] Stanley, R.P. Some Aspects of Groups Acting on Finite Posets. Journal of Combinatorial Theory, Series A, 32:132–161, 1982.
  • [11] Suzuki, H. 2-Designs over GF (2m). Graphs and Combinatorics, 6:293–296, 1990.
  • [12] Suzuki, H. 2-Designs over GF (q). Graphs and Combinatorics, 8:381–389, 1992. [13] Thomas, S. Designs over Finite Fields. Geometriae Dedicata, 24:237–242, 1987.
  • [14] Thomas, S. Designs and Partial Geometries over Finite Fields. Geometriae Dedicata, 63:247– 253, 1996.

Year 2012, Volume: 5 Issue: 1, 85 - 89, 30.04.2012

Michael Braun

Abstract

References

  • [1] Braun, M. Designs over Finite Fields. In ALCOMA’05 — Proceedings of the Conference on Algebraic Combinatorics and Applications, Designs and Codes, April 3-10, 2005, Thurnau, Germany. Bayreuther Mathematische Schriften 74:58–68, 2005.
  • [2] Braun, M., Kerber, A. and Laue, R. Systematic Construction of q-Analogs of Designs. De- signs, Codes and Cryptography, 34(1):55–70, 2005.
  • [3] Etzion, T. and Vardy, A. On q-Analogs of Steiner Systems and Covering Designs. Advances in the Mathematics of Communications, Special Issue on ALCOMA’10 — Algebraic Com- binatorics and Applications, April 11-18, 2010, Thurnau, Germany, 5(2):161–176, 2011.
  • [4] Itoh, T. A New Family of 2-Designs over GF (q) Admitting SLm(ql). Geometriae Dedicata, 69:261–286, 1998.
  • [5] Kramer, E. and Mesner, D. t-Designs on Hypergraphs. Discrete Mathematics, 15(3):263–296, 1976.
  • [6] Miyakawa, M., Munemasa, A. and Yoshiara, S. On a Class of Small 2-Designs over GF (q). Journal of Combinatorial Designs, 3:61–77, 1995.
  • [7] Mnukhin, V.B. and Siemons I.J. On the Livingstone-Wagner Theorem. The Electronic Jour- nal of Combinatorics, 11(R29):1–8, 2004.
  • [8] Ray-Chaudhuri, D.K. and Schram, E.J. Designs on Vectorspaces Constructed Using Qua- dratic Forms. Geometriae Dedicata, 42:1–42, 1992.
  • [9] Schwartz, M. and Etzion, T. Codes and Anticodes in the Grassman Graph. Journal of Com- binatorial Theory, Series A, 97:27–42, 2002.
  • [10] Stanley, R.P. Some Aspects of Groups Acting on Finite Posets. Journal of Combinatorial Theory, Series A, 32:132–161, 1982.
  • [11] Suzuki, H. 2-Designs over GF (2m). Graphs and Combinatorics, 6:293–296, 1990.
  • [12] Suzuki, H. 2-Designs over GF (q). Graphs and Combinatorics, 8:381–389, 1992. [13] Thomas, S. Designs over Finite Fields. Geometriae Dedicata, 24:237–242, 1987.
  • [14] Thomas, S. Designs and Partial Geometries over Finite Fields. Geometriae Dedicata, 63:247– 253, 1996.
There are 13 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Michael Braun This is me

Publication Date April 30, 2012
Published in Issue Year 2012 Volume: 5 Issue: 1

Cite

APA Braun, M. (2012). A NOTE ON THE EXISTENCE OF NON-SIMPLE DESIGNS OVER FINITE FIELDS. International Electronic Journal of Geometry, 5(1), 85-89.
AMA Braun M. A NOTE ON THE EXISTENCE OF NON-SIMPLE DESIGNS OVER FINITE FIELDS. Int. Electron. J. Geom. April 2012;5(1):85-89.
Chicago Braun, Michael. “A NOTE ON THE EXISTENCE OF NON-SIMPLE DESIGNS OVER FINITE FIELDS”. International Electronic Journal of Geometry 5, no. 1 (April 2012): 85-89.
EndNote Braun M (April 1, 2012) A NOTE ON THE EXISTENCE OF NON-SIMPLE DESIGNS OVER FINITE FIELDS. International Electronic Journal of Geometry 5 1 85–89.
IEEE M. Braun, “A NOTE ON THE EXISTENCE OF NON-SIMPLE DESIGNS OVER FINITE FIELDS”, Int. Electron. J. Geom., vol. 5, no. 1, pp. 85–89, 2012.
ISNAD Braun, Michael. “A NOTE ON THE EXISTENCE OF NON-SIMPLE DESIGNS OVER FINITE FIELDS”. International Electronic Journal of Geometry 5/1 (April 2012), 85-89.
JAMA Braun M. A NOTE ON THE EXISTENCE OF NON-SIMPLE DESIGNS OVER FINITE FIELDS. Int. Electron. J. Geom. 2012;5:85–89.
MLA Braun, Michael. “A NOTE ON THE EXISTENCE OF NON-SIMPLE DESIGNS OVER FINITE FIELDS”. International Electronic Journal of Geometry, vol. 5, no. 1, 2012, pp. 85-89.
Vancouver Braun M. A NOTE ON THE EXISTENCE OF NON-SIMPLE DESIGNS OVER FINITE FIELDS. Int. Electron. J. Geom. 2012;5(1):85-9.