Geodesic
The closed form expression for Schoenheim bound in case $L(p+k,k,k-1)$
The Bulletin of Irkutsk State University. Series Mathematics, Tome 3 (2010) no. 4, pp. 44-47 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we derive the closed form expression for Schoenheim bound in case $L(p+k,k,k-1)$, where p is prime.
Keywords: boolean function, ESOP, Turan problem, covering design, Schoenheim bound. 
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K. D. Kirichenko. The closed form expression for Schoenheim bound in case $L(p+k,k,k-1)$. The Bulletin of Irkutsk State University. Series Mathematics, Tome 3 (2010) no. 4, pp. 44-47. http://geodesic.mathdoc.fr/item/IIGUM_2010_3_4_a4/

[1] K. D. Kirichenko, “Verkhnyaya otsenka slozhnosti polinomialnykh normalnykh form bulevykh funktsii”, Diskretnaya matematika, 17:3 (2005), 81–88 | DOI | MR

[2] D. M. Gordon, R. S. Douglas, “Coverings”, Handbook of Combinatorial Designs, Taylor and Francis Group, 2007, 365–373

[3] J. Schoenheim, “On Covering”, Pacific Journal of Mathematics, 14 (1964), 1405–1411 | DOI | MR | Zbl

[4] N. Sloane http://www.research.att.com/ñjas/sequences

[5] P. Turan, “Reseach Problems”, Magyar Tud. Acad. Mat. Kutato Int. Kozl., 6 (1961), 417–423 | MR