Geodesic
Multidimensional permanents in enumrative problems
Diskretnyj analiz i issledovanie operacij, Tome 15 (2008) no. 5, pp. 3-5 Cet article a éte moissonné depuis la source Math-Net.Ru

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A permanent is an effective tool that can be used for solving a series of enumerative combinatorial problems. This theory is well-developed [1, 3] and has many applications. In this paper a problem of calculation of the number of 1-perfect binary codes is reduced to calculation of a generalized permanent of a specially constructed multidimensional matrix. Bibl. 3.
Mots-clés : permanent, multidimensional matrix.
Keywords: perfect code 
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S. V. Avgustinovich. Multidimensional permanents in enumrative problems. Diskretnyj analiz i issledovanie operacij, Tome 15 (2008) no. 5, pp. 3-5. http://geodesic.mathdoc.fr/item/DA_2008_15_5_a0/

[1] Avgustinovich S. V., Soloveva F. I., Kheden U., “O razbieniyakh $n$-kuba na neekvivalentnye sovershennye kody”, Probl. peredachi informatsii, 43:4 (2007), 45–50 | MR | Zbl

[2] Gasparyan A. S., “Perechislenie gamma-latinskikh konfiguratsii: reshenie rasshirennoi zadachi o chisle latinskikh pryamougolnikov”, Materialy konferentsii “Diskretnyi analiz i issledovanie operatsii” (Novosibirsk, 28 iyunya–2 iyulya 2004), Izd-vo In-ta matematiki, Novosibirsk, 2004, 83

[3] Mink X., Permanenty, Mir, M., 1982, 213 pp. | MR