Complementary design theory for sliced equidistance designs |
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Authors: | Yuanzhen HeMingyao Ai |
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Affiliation: | LMAM, School of Mathematical Sciences and Center for Statistical Science, Peking University, Beijing 100871, China |
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Abstract: | The complementary design theory is powerful for searching for an optimal design when its complementary design is smaller. This paper introduces a new class of sliced equidistance designs and develops the corresponding complementary design theory under the generalized minimum aberration criterion. Two rules are established to search for a generalized minimum aberration design through its complementary design in a sliced equidistance design. As a result, the developed theory covers the related results for the whole designs being saturated designs as special cases. Some examples are presented to illustrate its usefulness. |
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Keywords: | Coding theory Generalized wordlength pattern Krawtchouk polynomial Sliced equidistance design |
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