数学季刊（英文版）
數學季刊（英文版）
수학계간（영문판）
CHINESE QUARTERLY JOURNAL OF MATHEMATICS
2007年
1期
79-86
,共8页
史成堂%张丹%陈宝亭%李玉凯
史成堂%張丹%陳寶亭%李玉凱
사성당%장단%진보정%리옥개
coding theory%consulting design%minimum aberration%mixed-level%regular%wordlength pattern
Mukerjee and Wu(2001) employed projective geometry theory to find the wordlength pattern of a regular mixed factorial design in terms of its complementary set,but only for the numbers of words of length 3 or 4. In this paper, by introducing a concept of consulting design and based on the connection between factorial design theory and coding theory, we obtain some combinatorial identities that relate the wordlength pattern of a regular mixed-level (2γ)2n factorial design to that of its consulting design. Consequently, a general rule for identifying minimum aberration (2γ)2n factorial designs through their consulting designs is established. It is an improvement and generalization of the related result in Mukerjee and Wu(2001).
