Linear codes and doubly transitive symmetric designs

Christopher Parker; Vladimir D. Tonchev

doi:10.1016/0024-3795(95)00104-Y

Linear codes and doubly transitive symmetric designs

Christopher Parker^*, Vladimir D. Tonchev

^*Corresponding author for this work

Mathematics

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

5 Citations (Scopus)

Abstract

An application of linear codes for the construction of a 2-transitive symmetric design from its residual or derived designs is discussed. The Higman design is constructed as the design supported by the minimum weight codewords in the extended binary code of certain designs invariant under PΣU (3, 5²).

Original language	English
Pages (from-to)	237-246
Number of pages	10
Journal	Linear Algebra and its Applications
Volume	226-228
Issue number	C
DOIs	https://doi.org/10.1016/0024-3795(95)00104-Y
Publication status	Published - 1 Jan 1995

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/0024-3795(95)00104-Y

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title = "Linear codes and doubly transitive symmetric designs",

abstract = "An application of linear codes for the construction of a 2-transitive symmetric design from its residual or derived designs is discussed. The Higman design is constructed as the design supported by the minimum weight codewords in the extended binary code of certain designs invariant under PΣU (3, 52).",

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AU - Tonchev, Vladimir D.

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Y1 - 1995/1/1

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DO - 10.1016/0024-3795(95)00104-Y

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JO - Linear Algebra and its Applications

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Linear codes and doubly transitive symmetric designs

Abstract

ASJC Scopus subject areas

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