OOAs Constructed from BCH Codes

In [1] a number of classes of linear ordered orthogonal arrays (OOAs) of depth 2 and 3 over ℤ₂ are constructed based on BCH codes.

• A class of OOA(2^3r+1, 2^r – 1,F₂, 2, 6) for all r ≥ 2 is constructed in [1, Theorem 5].

• A class of OOA(2^3r+2, 2^r – 1,F₂, 3, 7) for all r ≥ 2 is constructed in [1, Theorem 9].

• A class of OOA(2^5r, 2^r – 1,F₂, 2, 8) for all r ≥ 2 is constructed in [1, Corollary 10].

• A class of OOA(2^5r+1, 2^r – 1,F₂, 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,F₂, 3, 9) for all r ≥ 2 is constructed in [1, Proposition 3].

• A class of OOA(2^6r+1, 2^r – 1,F₂, 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,F₂, 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: 2024-09-05. http://mint.sbg.ac.at/desc_OBierbrauerEdelOOAFromBCH.html