ISSN 0032-9460, Problems of Information Transmission, 2013, Vol. 49, No. 2, pp. 192–195. c Pleiades Publishing, Inc., 2013. Original Russian Text c V.A. Zinoviev, D.V. Zinoviev, 2013, published in Problemy Peredachi Informatsii, 2013, Vol. 49, No. 2, pp. 107–111. LETTERS TO THE EDITOR Remark on “Steiner Triple Systems S(2 − 1, 3, 2) of Rank 2 − m +1 over F ” Published in Probl. Peredachi Inf., 2012, no. 2 V. A. Zinoviev and D. V. Zinoviev DOI: 10.1134/S0032946013020087 m m In Theorem 4 of our paper “Steiner Triple Systems S(2 − 1, 3, 2) of Rank 2 − m+1 over F ” (Probl. Peredachi Inf., 2012, vol. 48, no. 2, pp. 102–126) we have made a mistake. Theorem 4 should read as follows: The total number of diﬀerent Steiner triple systems S(v, 3, 2) of order v =2 − 1=4u +3 and rank v − m +2 is exactly v! M v,2 (o) M = , (u(u − 1)(u − 2)... (u +1)/2) · (4!) · 3! where M denotes the number of diﬀerent Steiner triple systems S(v, 3, 2) of order v and rank v,2 v − m +2 orthogonal to the code A ,
Problems of Information Transmission – Springer Journals
Published: Jul 13, 2013
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