Geodesic
A Graham-Sloane type construction for $s$-surjective matrices
Journal of Algebraic Combinatorics, Tome 1 (1992) no. 4, pp. 347-351.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We give a construction of ( n- s)-surjective matrices with $n$ columns over $\mathbb Z _{ q}$ mathbbZ_q using Abelian groups and additive s-bases. In particular we show that the minimum number of rows $ms _{q}$( n,n- s) in such a matrix is at most $s ^{s} q ^{n-s}$ for all q, n and $s$.
Keywords: $s$-surjective matrix, additive basis, orthogonal array 
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     author = {Honkala, Iiro},
     title = {A {Graham-Sloane} type construction for $s$-surjective matrices},
     journal = {Journal of Algebraic Combinatorics},
     pages = {347--351},
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     number = {4},
     year = {1992},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_1992__1_4_a2/}
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Honkala, Iiro. A Graham-Sloane type construction for $s$-surjective matrices. Journal of Algebraic Combinatorics, Tome 1 (1992) no. 4, pp. 347-351. http://geodesic.mathdoc.fr/item/JAC_1992__1_4_a2/