Concerning difference matrices

Charles J. Colbourn; Donald L. Kreher

doi:10.1007/bf00169774

Concerning difference matrices

Charles J. Colbourn, Donald L. Kreher

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

15 Scopus citations

Abstract

Several new constructions for difference matrices are given. One class of constructions uses pairwise balanced designs to develop new difference matrices over the additive group of GF(q). A second class of constructions gives difference matrices over groups whose orders are not (necessarily) prime powers.

Original language	English (US)
Pages (from-to)	61-70
Number of pages	10
Journal	Designs, Codes, and Cryptography
Volume	9
Issue number	1
DOIs	https://doi.org/10.1007/bf00169774
State	Published - Jan 1 1996
Externally published	Yes

Keywords

Difference matrices
Orthogonal arrays
Pairwise balanced designs

ASJC Scopus subject areas

Computer Science Applications
Applied Mathematics

Access to Document

10.1007/bf00169774

Cite this

@article{d88dba4dd2744edaa60038fd76cc36ab,

title = "Concerning difference matrices",

abstract = "Several new constructions for difference matrices are given. One class of constructions uses pairwise balanced designs to develop new difference matrices over the additive group of GF(q). A second class of constructions gives difference matrices over groups whose orders are not (necessarily) prime powers.",

keywords = "Difference matrices, Orthogonal arrays, Pairwise balanced designs",

author = "Colbourn, {Charles J.} and Kreher, {Donald L.}",

year = "1996",

month = jan,

day = "1",

doi = "10.1007/bf00169774",

language = "English (US)",

volume = "9",

pages = "61--70",

journal = "Designs, Codes, and Cryptography",

issn = "0925-1022",

publisher = "Springer Netherlands",

number = "1",

}

TY - JOUR

T1 - Concerning difference matrices

AU - Colbourn, Charles J.

AU - Kreher, Donald L.

PY - 1996/1/1

Y1 - 1996/1/1

N2 - Several new constructions for difference matrices are given. One class of constructions uses pairwise balanced designs to develop new difference matrices over the additive group of GF(q). A second class of constructions gives difference matrices over groups whose orders are not (necessarily) prime powers.

AB - Several new constructions for difference matrices are given. One class of constructions uses pairwise balanced designs to develop new difference matrices over the additive group of GF(q). A second class of constructions gives difference matrices over groups whose orders are not (necessarily) prime powers.

KW - Difference matrices

KW - Orthogonal arrays

KW - Pairwise balanced designs

UR - http://www.scopus.com/inward/record.url?scp=0003333030&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0003333030&partnerID=8YFLogxK

U2 - 10.1007/bf00169774

DO - 10.1007/bf00169774

M3 - Article

AN - SCOPUS:0003333030

SN - 0925-1022

VL - 9

SP - 61

EP - 70

JO - Designs, Codes, and Cryptography

JF - Designs, Codes, and Cryptography

IS - 1

ER -

Concerning difference matrices

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this