Permutation designs

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چکیده

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Partial permutation decoding for codes from affine geometry designs

We find explicit PD-sets for partial permutation decoding of the generalized Reed-Muller codes RFp (2(p − 1), 3) from the affine geometry designs AG3,1(Fp) of points and lines in dimension 3 over the prime field of order p, using the information sets found in [8]. Mathematics Subject Classification (2000): 05, 51, 94.

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Permutation decoding for codes from designs, finite geometries and graphs

The method of permutation decoding was first developed by MacWilliams in the early 60’s and can be used when a linear code has a sufficiently large automorphism group to ensure the existence of a set of automorphisms, called a PD-set, that has some specifed properties. These talks will describe some recent developments in finding PD-sets for codes defined through the row-span over finite fields...

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permutation approach for adjusted durbin rank test used in balanced incomplete block designs for tied data

durbin's rank test is widely used for testing treatment effects in balanced incomplete block designs (bibds)which have wide applications in sensory analysis. this test is failed for bibds when ties data occur. an adjusted version of durbin rank test for this kind of data is given to solve this problem. chi-square approximation, which is commonly used for this test, is not adequate for small bib...

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Using R to Simulate Permutation Distributions for Some Elementary Experimental Designs

Null distributions of permutation tests for two-sample, paired, and block designs are simulated using the R statistical programming language. For each design and type of data, permutation tests are compared with standard normal-theory and nonparametric tests. These examples (often using real data) provide for classroom discussion use of metrics that are appropriate for the data. Simple programs...

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Permutation approach for adjusted Durbin rank test used in balanced incomplete block designs for tied data

Durbin's rank test is widely used for testing treatment effects in Balanced Incomplete Block Designs (BIBDs) which have wide applications in sensory analysis. This test is failed for BIBDs when ties data occur. An adjusted version of Durbin rank test for this kind of data is given to solve this problem. Chi-square approximation, which is commonly used for this test, is not adequate for small BI...

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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series A

سال: 1976

ISSN: 0097-3165

DOI: 10.1016/0097-3165(76)90009-1