A family of symmetric designs

J.D. Fanning

doi:10.13025/24151

A family of symmetric designs

J.D. Fanning

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

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Abstract

An embedding theorem for certain quasi-residual designs is proved and is used to construct a series of symmetric designs with upsilon a = (1 + 16 + ... + 16(m))9 + 16(m+1), k = (1 + 16 + ... + 16(m))9, and lambda =(1 + 16 + + 16(m-1))9 + 16(m) . 3, for a non-negative integer m.

Original language	English (Ireland)
Journal	Discrete Mathematics
DOIs	https://doi.org/10.13025/24151 https://doi.org/10.1016/0012-365x(94)00072-5
Publication status	Published - 1 Nov 1995
Externally published	Yes

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10.13025/24151Licence: CC BY-NC-ND
10.1016/0012-365x(94)00072-5

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title = "A family of symmetric designs",

abstract = "An embedding theorem for certain quasi-residual designs is proved and is used to construct a series of symmetric designs with upsilon a = (1 + 16 + ... + 16(m))9 + 16(m+1), k = (1 + 16 + ... + 16(m))9, and lambda =(1 + 16 + + 16(m-1))9 + 16(m) . 3, for a non-negative integer m.",

author = "J.D. Fanning",

year = "1995",

month = nov,

day = "1",

doi = "10.13025/24151",

language = "English (Ireland)",

journal = "Discrete Mathematics",

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T1 - A family of symmetric designs

AU - Fanning, J.D.

PY - 1995/11/1

Y1 - 1995/11/1

N2 - An embedding theorem for certain quasi-residual designs is proved and is used to construct a series of symmetric designs with upsilon a = (1 + 16 + ... + 16(m))9 + 16(m+1), k = (1 + 16 + ... + 16(m))9, and lambda =(1 + 16 + + 16(m-1))9 + 16(m) . 3, for a non-negative integer m.

AB - An embedding theorem for certain quasi-residual designs is proved and is used to construct a series of symmetric designs with upsilon a = (1 + 16 + ... + 16(m))9 + 16(m+1), k = (1 + 16 + ... + 16(m))9, and lambda =(1 + 16 + + 16(m-1))9 + 16(m) . 3, for a non-negative integer m.

UR - http://hdl.handle.net/10379/9139

U2 - 10.13025/24151

DO - 10.13025/24151

M3 - Article

SN - 0012-365X

JO - Discrete Mathematics

JF - Discrete Mathematics

ER -

A family of symmetric designs

Abstract

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