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- W2058906544 abstract "It has been shown that (t,m,s)-nets in base b can be characterized by combinatorial objects known as generalized orthogonal arrays. In this paper, a new construction for generalized orthogonal arrays leads to new (t,m,s)-nets in base q, q a prime power. The basic building block for the construction is an array of elements over Fq in which certain collections of rows are linearly independent. It is shown that if there exists an [n,n-m,d] q-ary code with $dge 6+2p$, where $pge 0$ is an integer, then there exists a (t,m,s)-net in base q with $t=m-(4+2p)$ and $s= lfloor frac{n-1}{1+p} rfloor$." @default.
- W2058906544 created "2016-06-24" @default.
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- W2058906544 date "1997-08-01" @default.
- W2058906544 modified "2023-09-25" @default.
- W2058906544 title "A Construction for (t,m,s)-nets in Base q" @default.
- W2058906544 doi "https://doi.org/10.1137/s0895480195295975" @default.
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