A Matrix Substitution Method of Constructing Partially Balanced Designs
نویسندگان
چکیده
منابع مشابه
Constructing t-designs from t-wise balanced designs
We give a construction to obtain a t-design from a t-wise balanced design. More precisely, given a positive integer k and a t(v, {k1, k2, . . . , ks}, λ) design D, with with all block-sizes ki occurring in D and 1 ≤ t ≤ k ≤ k1 < k2 < · · · < ks, the construction produces a t-(v, k, nλ) design D∗, with n = lcm( ( k1−t k−t ) , . . . , ( ks−t k−t ) ). We prove that Aut(D) is a subgroup of Aut(D∗),...
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ژورنال
عنوان ژورنال: The Annals of Mathematical Statistics
سال: 1960
ISSN: 0003-4851
DOI: 10.1214/aoms/1177705985