Structure of steiner triple systems S(2 m − 1, 3, 2) of rank 2 m − m + 2 over $\mathbb{F}_2 $

Author:

Zinoviev V. A.,Zinoviev D. V.

Publisher

Pleiades Publishing Ltd

Subject

Computer Networks and Communications,Computer Science Applications,Information Systems

Reference23 articles.

1. Lindner, C.C. and Rosa, A., Steiner Quadruple Systems-A Survey, Discrete Math., 1978, vol. 22, no. 2, pp. 147–181.

2. Hartman, A. and Phelps, K.T., Steiner Quadruple Systems, Contemporary Design Theory: A Collection of Surveys, ch. 6, Dinitz, J.H. and Stinson, D.R., Eds., New York: Wiley, 1992, pp. 205–240.

3. The CRC Handbook of Combinatorial Designs, Colbourn, C.J. and Dinitz, J.H., Eds., Boca Raton: CRC Press, 1996.

4. Tonchev, V.D., A Mass Formula for Steiner Triple Systems STS(2n − 1) of Rank 2n − n, J. Combin. Theory, Ser. A, 2001, vol. 95, no. 2, pp. 197–208.

5. Zinoviev, V.A. and Zinoviev, D.V., Steiner Triple Systems S(2m − 1, 3, 2) of Rank 2m − m+ 1 over $\mathbb{F}_2 $ , Probl. Peredachi Inf., 2012, vol. 48, no. 2, pp. 21–47 [Probl. Inf. Trans. (Engl. Transl.), 2012, vol. 48, no. 2, pp. 102–126].

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