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A linear algebraic algorithm for reducing the support size of t-designs and to generate a basis for trades

 

作者: G.B. Khosrovshahi,   E.S. Mahmoodian,  

 

期刊: Communications in Statistics - Simulation and Computation  （Taylor Available online 1987）
卷期: Volume 16, issue 4  

页码: 1015-1038

 

ISSN:0361-0918

 

年代: 1987

 

DOI:10.1080/03610918708812634

 

出版商: Marcel Dekker, Inc.

 

关键词: t (v, kr\) designs;(v, k, t) trades;basis for the trades;support size

 

数据来源: Taylor

 

摘要:

A simple linear algebraic algorithm to generate a basis of the null space of a given integral matrix is utilized to present a computer algorithm, which in general, is used to reduce the support size of a given design as in a theorem of FoodyHedayat (Theorem 4.1, 1977), and in particular, it is used to produce a basis for trades. The computations based on this algorithm is of order of a polynomial function.

 

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