Fisher type inequalities for Euclidean t-designs

Ph. Delsarte; J.J. Seidel

doi:10.1016/0024-3795(89)90462-X

Fisher type inequalities for Euclidean t-designs

Ph. Delsarte, J.J. Seidel

Mathematics and Computer Science

Research output: Contribution to journal › Article › Academic › peer-review

54 Citations (Scopus)

Abstract

The notion of a Euclidean t-design is analyzed in the framework of appropriate inner product spaces of polynomial functions. Some Fisher type inequalities are obtained in a simple manner by this method. The same approach is used to deal with certain analogous combinatorial designs.

Original language	English
Pages (from-to)	213-230
Journal	Linear Algebra and Its Applications
Volume	114-115
DOIs	https://doi.org/10.1016/0024-3795(89)90462-X
Publication status	Published - 1989

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title = "Fisher type inequalities for Euclidean t-designs",

abstract = "The notion of a Euclidean t-design is analyzed in the framework of appropriate inner product spaces of polynomial functions. Some Fisher type inequalities are obtained in a simple manner by this method. The same approach is used to deal with certain analogous combinatorial designs.",

author = "Ph. Delsarte and J.J. Seidel",

year = "1989",

doi = "10.1016/0024-3795(89)90462-X",

language = "English",

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pages = "213--230",

journal = "Linear Algebra and Its Applications",

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AU - Delsarte, Ph.

AU - Seidel, J.J.

PY - 1989

Y1 - 1989

N2 - The notion of a Euclidean t-design is analyzed in the framework of appropriate inner product spaces of polynomial functions. Some Fisher type inequalities are obtained in a simple manner by this method. The same approach is used to deal with certain analogous combinatorial designs.

AB - The notion of a Euclidean t-design is analyzed in the framework of appropriate inner product spaces of polynomial functions. Some Fisher type inequalities are obtained in a simple manner by this method. The same approach is used to deal with certain analogous combinatorial designs.

U2 - 10.1016/0024-3795(89)90462-X

DO - 10.1016/0024-3795(89)90462-X

M3 - Article

SN - 0024-3795

VL - 114-115

SP - 213

EP - 230

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

Fisher type inequalities for Euclidean t-designs

Abstract

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