## OOAs Constructed from BCH Codes

In [1] a number of classes of linear ordered orthogonal arrays (OOAs) of depth 2 and 3 over ℤ_{2} are constructed based on BCH codes.

A class of OOA(2

^{3r+1}, 2^{r}– 1,**F**_{2}, 2, 6) for all*r*≥ 2 is constructed in [1, Theorem 5].A class of OOA(2

^{3r+2}, 2^{r}– 1,**F**_{2}, 3, 7) for all*r*≥ 2 is constructed in [1, Theorem 9].A class of OOA(2

^{5r}, 2^{r}– 1,**F**_{2}, 2, 8) for all*r*≥ 2 is constructed in [1, Corollary 10].A class of OOA(2

^{5r+1}, 2^{r}– 1,**F**_{2}, 2, 9) for all*r*≥ 2 is constructed in the beginning of [1, Section 7]A class of OOA(2

^{5r+2}, 2^{r}– 1,**F**_{2}, 3, 9) for all*r*≥ 2 is constructed in [1, Proposition 3].A class of OOA(2

^{6r+1}, 2^{r}– 1,**F**_{2}, 2, 11) for all*r*≥ 2 is constructed in the beginning of [1, Section 7]A class of OOA(2

^{6r+2}, 2^{r}– 1,**F**_{2}, 3, 11) for all*r*≥ 2 not a multiple of 3 is constructed in [1, Proposition 4].

### References

[1] | Jürgen Bierbrauer and Yves Edel. Families of nets of low and medium strength. Integers. Electronic Journal of Combinatorial Number Theory, 5(3):#A03, 13 pages, 2005.(electronic). |

### Copyright

Copyright © 2004, 2005, 2006, 2007, 2008, 2009, 2010 by Rudolf Schürer and Wolfgang Ch. Schmid.

Cite this as: Rudolf Schürer and Wolfgang Ch. Schmid. “OOAs Constructed from BCH Codes.”
From MinT—the database of optimal net, code, OA, and OOA parameters.
Version: 2008-04-04.
http://mint.sbg.ac.at/desc_OBierbrauerEdelOOAFromBCH.html