Results 1 to 10 of about 23,091 (146)

On Theory and Applications of BIB Designs with Repeated Blocks

open access: yesAnnals of Statistics, 1977
Consider BIB designs with parameters $v, b, r, k$ and $\lambda$. Define the support of a BIB design to be the set of its distinct blocks and let the cardinality of the support be $b^\ast$. If $b^\ast < b$ then the design is said to be a BIB design with repeated blocks.
A Hedayat
exaly   +3 more sources

Recursive constructions for cyclic BIB designs and their generalizations

open access: yesDiscrete Mathematics, 1993
This is a well-written, fairly complete survey of results on recursive techniques for constructing cyclic and 1-rotational block designs. An extensive discussion of the application of such techniques to cyclically nested designs is given. Finally, one construction is generalized to other sharply transitive groups.
Masakazu Jimbo
exaly   +3 more sources

BIB(8, 56, 21, 3, 6) and BIB(10, 30, 9, 3, 2) designs with repeated blocks

open access: yesJournal of Combinatorial Theory - Series A, 1984
AbstractIf there are less than b distinct blocks in a BIB design with b blocks then we say the design has repeated blocks. The set of distinct blocks of a design is called the support of the design. BIB designs with repeated blocks, besides being optimal, have special applications in the design of experiments and controlled samplings.
A Hedayat
exaly   +3 more sources

Effect of Window and Hole Pattern Cut-Outs on Design Optimization of 3D Printed Braces

open access: yesFrontiers in Rehabilitation Sciences, 2022
BackgroundThere are many different Thoracic Lumbar Sacral Orthosis style brace designs available in the market for the correction of scoliosis deformity. Hole cut out patterns, are commonly used in brace designs. These cut-outs may be subdivided into two
Robert Rizza   +4 more
doaj   +1 more source

On μ-resolvable BIB designs

open access: yesDiscrete Mathematics, 1983
AbstractIn this paper, some μ-resolvable balanced incomplete block designs are constructed. Furthermore, parameters' combinations of all the designs constructed are tabulated under some restrictions.
Sanpei Kageyama, R. N. Mohan
openaire   +2 more sources

R.A.Fisher, design theory, and the Indian connection [PDF]

open access: yes, 2009
Design Theory, a branch of mathematics, was born out of the experimental statistics research of the population geneticist R. A. Fisher and of Indian mathematical statisticians in the 1930s.
A R P Rau   +43 more
core   +3 more sources

Bounds on the efficiency of the residual design of extended BIB designs

open access: yesMetrika, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Setoya, Hiroshi, Kageyama, Sanpei
openaire   +2 more sources

Decoding the Golay code with Venn diagrams [PDF]

open access: yes, 1990
A decoding algorithm, based on Venn diagrams, for decoding the [23, 12, 7] Golay code is presented. The decoding algorithm is based on the design properties of the parity sets of the code. As for other decoding algorithms for the Golay code, decoding can
Blaum, Mario, Bruck, Jehoshua
core   +2 more sources

Redesign of technical systems [PDF]

open access: yes, 1995
The paper describes a systematic approach to support the redesign process. Redesign is the adaptation of a technical system in order to meet new specifications.
Alberts, L.K.   +4 more
core   +4 more sources

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