NEW 3-DESIGNS OVER THE BINARY FIELD

Yıl 2013, Cilt: 6 Sayı: 2, 79 - 87, 30.10.2013

Michael Braun

Öz

Anahtar Kelimeler

designs over nite elds, q-analogs

Kaynakça

• [1] Braun, M., Designs over Finite Fields. Bayreuther Mathematische Schriften, 74(2005), 58–68.
• [2] Braun, M., Kerber, A. and Laue,R., Systematic Construction of q-Analogs of Designs. Designs, Codes and Cryptography, 34(2005), no.1, 55–70.
• [3] Itoh, T., A New Family of 2-Designs over GF (q) Admitting SLm(ql). Geometriae Dedicata, 69(1998), 261–286.
• [4] Kramer, E. and Mesner, D., t-Designs on Hypergraphs. Discrete Mathematics, 15(1976), no:3, 263–296.
• [5] Lenstra,A.K., Lenstra, H.W. and Lovász, L., Factoring Polynomials with Rational Coeffi- cients. Mathematische Annalen, 261(1982), no.4, 515–534.
• [6] Miyakawa, M., Munemasa, A. and Yoshiara, S., On a Class of Small 2-Designs over GF (q). Journal of Combinatorial Designs, 3(1995), 61–77.
• [7] Ray-Chaudhuri, D.K. and Schram, E.J., Designs on Vectorspaces Constructed Using Qua- dratic Forms. Geometriae Dedicata, 42(1992), 1–42.
• [8] Suzuki, H., 2-Designs over GF (2m). Graphs and Combinatorics, 6(1990), 293–296.
• [9] Suzuki, H., 2-Designs over GF (q). Graphs and Combinatorics, 8(1992), 381–389.
• [10] Thomas, S., Designs over Finite Fields. Geometriae Dedicata, 24(1987), 237–242.
• [11] Thomas, S., Designs and Partial Geometries over Finite Fields. Geometriae Dedicata, 63(1996), 247–253.