Araştırma Makalesi
BibTex RIS Kaynak Göster

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

Yıl 2012, Cilt: 5 Sayı: 1, 85 - 89, 30.04.2012

Michael Braun

Öz


Anahtar Kelimeler

Designs over Finite Fields Non-simple Designs

Kaynakça

  • [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.

Yıl 2012, Cilt: 5 Sayı: 1, 85 - 89, 30.04.2012

Michael Braun

Öz

Kaynakça

  • [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.
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Michael Braun Bu kişi benim

Yayımlanma Tarihi 30 Nisan 2012
Yayımlandığı Sayı Yıl 2012 Cilt: 5 Sayı: 1

Kaynak Göster

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. Nisan 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, sy. 1 (Nisan 2012): 85-89.
EndNote Braun M (01 Nisan 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., c. 5, sy. 1, ss. 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 (Nisan 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, c. 5, sy. 1, 2012, ss. 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.