Some series of block designs with nested rows and columns
نویسندگان
چکیده
Some new series of block designs with nested rows and columns have been constructed with some examples mainly from a combinatorial point of view. Two of the series are balanced (ternary), the others are partially balanced, based on rectangular and triangular association schemes.
منابع مشابه
A new family of balanced incomplete block designs with nested rows and columns
In this paper we method of block with in which each block (mod 8) a or a power, v construction the existence of of primitive element in G F( v). We have verified the existence of these for all such v, v S 1000. We conjecture that this nT'1Tn1It"TP element must exist for all such Each such m rr."nl1·'rlr·1"u,n with a result of Uddin [11] rise to an infinite family of BIBRC's where the number of ...
متن کاملQuasi - Latin designs and their use in glasshouse exper - 1 iments
This paper gives a general method for constructing quasi-Latin square, quasi-Latin 12 rectangle and extended quasi-Latin rectangle designs for symmetric factorial experiments. Two 13 further methods are given for parameter values satisfying certain conditions. Designs are 14 constructed for a range of numbers of rows and columns so that the different construction 15 techniques are illustrated. ...
متن کاملSome Optimal Codes From Designs
The binary and ternary codes spanned by the rows of the point by block incidence matrices of some 2-designs and their complementary and orthogonal designs are studied. A new method is also introduced to study optimal codes.
متن کاملRemarks on Balanced Incomplete Block Designs
Proof. Assume the hypothesis and the falsity of either conclusion. Construct matrix A of 2x + 2 rows and 4x+4 columns, with entries + 1 and — 1. The first column contains exclusively +1, and the second column — 1. Set up one-to-one correspondences between rows of A and elements of D ; between columns other than the first two of A and blocks of D. Enter +1 if the element is contained in the bloc...
متن کاملOptimality Status of Incomplete Layout Three-Way Balanced Designs and Optimal Designs Under Heteroscedastic Errors in Linear Regression
The setup is that of a row-column design (also called a three-way design) and the model is that of fixed effects additive model with homoscedastic errors. We say that the row and column classifications represent known heterogeneity directions and the treatment effects correspond to the third component of variation. Our primary task is to provide efficient comparisons of the treatment effects. F...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Australasian J. Combinatorics
دوره 29 شماره
صفحات -
تاریخ انتشار 2004