Premium
On the existence and non‐existence of quintic designs
Author(s) -
Duthie Audrey I.
Publication year - 1974
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3314697
Subject(s) - quintic function , mathematics , block (permutation group theory) , incidence matrix , class (philosophy) , matrix (chemical analysis) , incidence (geometry) , pure mathematics , block design , combinatorics , computer science , physics , geometry , materials science , nonlinear system , quantum mechanics , artificial intelligence , node (physics) , composite material
Abstract Quintic designs, a class of PBIB designs having five associate classes, are defined. Properties of NN' , where N is the incidence matrix, are examined to present necessary conditions for the existence of quintic designs. The variances of elementary treatment comparisons are found. The block structure of two types of quintic design is studied.