A simple orthogonal array OA(q2n−1, q2n−2, q, 2) is constructed by using the action of a large subgroup of PGL(n + 1, q2) on a set of non degenerate Hermitian varieties in PG(n, q2).

An (r,λ)-design with mutually balanced nested subdesigns ( for brevity, (r,λ)-design with MBN ) is introduced firstly in this paper. It is shown that an (r,λ)design with MBN is equivalent to a balanced array of strength 2 with s symbols. By the use of a nested design and an orthogonal array, a construction of an (r,λ)design with MBN is given. A direct construction of such an (r,λ)-design, based...

H. Kharaghani, in "Arrays for orthogonal designs", J. Combin. Designs, 8 (2000), 166-173, showed how to use amicable sets of matrices to construct orthogonal designs in orders divisible by eight. We show how amicable orthogonal designs can be used to make amicable sets and so obtain infinite families of orthogonal designs in six variables in orders divisible by eight.

The success of applying generalized complex orthogonal designs as space–time block codes recently motivated the definition of quaternion orthogonal designs as potential building blocks for space–timepolarization block codes. This paper offers techniques for constructing quaternion orthogonal designs via combinations of specially chosen complex orthogonal designs. One technique is used to build ...

We present a novel declustering scheme (ACATS) for reliability stripes in an orthogonal disk array. Our scheme is deterministic, run-time efficient, and provides frequently the best possible and always an almost best possible distribution of failure-induced incremental rebuild workloads. Our scheme provides protection against single disk as well as single string failures within the disk array. ...

This paper introduces some construction methods for amicable orthogonal designs over the real and quaternion domain which have not been explored for code design before. The proposed construction methods generate a large number of amicable orthogonal designs of quaternions. It is also shown that amicable orthogonal designs of quaternions can be used to construct restricted quaternion orthogonal ...

In this letter, we define amicable complex orthogonal designs (ACOD) and propose two systematic methods to construct higher-order ACOD’s from lower-order ACOD’s. Although the upper bound on the number of variables of ACOD’s is found to be the same as that of amicable orthogonal designs (AOD), we show that certain types of AOD’s that were previously shown to be non-existent or undecided, such as...

OVERVIEW . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 543 STRUCTURE OF GENERAL FACTORIAL DESIGNS . . . . . . . . . . . 543 SUITABLE CONFOUNDING RULES . . . . . . . . . . . . . . . . . . . . . 544 Design Factors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 544 Block Factors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 545 Gener...