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math.CO2002★ 2 cited
Self-Dual Codes
E. M. Rains, N. J. A. Sloane
Self-dual codes are important because many of the best codes known are of this type and they have a rich mathematical theory. Topics covered in this survey include codes over F_2,…
math.CO2002★ 2 cited
On Asymmetric Coverings and Covering Numbers
David Applegate, E. M. Rains, N. J. A. Sloane
An asymmetric covering D(n,R) is a collection of special subsets S of an n-set such that every subset T of the n-set is contained in at least one special S with |S| - |T| <= R. In…
math.CO2002
The Lattice of N-Run Orthogonal Arrays
E. M. Rains, N. J. A. Sloane, John Stufken
If the number of runs in a (mixed-level) orthogonal array of strength 2 is specified, what numbers of levels and factors are possible? The collection of possible sets of parameters…