Partial difference sets and amorphic Cayley schemes in non‐abelian 2‐groups

Tao Feng; Zhiwen He; Yu Qing Chen

doi:10.1002/jcd.21695

Partial difference sets and amorphic Cayley schemes in non‐abelian 2‐groups

Journal of Combinatorial Designs ◽

10.1002/jcd.21695 ◽

2019 ◽

Vol 28 (4) ◽

pp. 273-293

Author(s):

Tao Feng ◽

Zhiwen He ◽

Yu Qing Chen

Keyword(s):

Difference Sets ◽

Partial Difference ◽

Partial Difference Sets

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New Partial Difference Sets in Ztp2 and a Related Problem about Galois Rings

Finite Fields and Their Applications ◽

10.1006/ffta.2000.0307 ◽

2001 ◽

Vol 7 (1) ◽

pp. 165-188 ◽

Cited By ~ 13

Author(s):

Xiang-Dong Hou ◽

Ka Hin Leung ◽

Qing Xiang

Keyword(s):

A new family of partial difference sets in 3-groups

Designs Codes and Cryptography ◽

10.1007/s10623-018-0562-6 ◽

2018 ◽

Vol 87 (7) ◽

pp. 1639-1646

Author(s):

John Polhill

Keyword(s):

Difference Sets ◽

Partial Difference ◽

New Family ◽

Partial Difference Sets

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Constructions of Partial Difference Sets and Relative Difference Sets on p -Groups

Bulletin of the London Mathematical Society ◽

10.1112/blms/22.6.533 ◽

1990 ◽

Vol 22 (6) ◽

pp. 533-539 ◽

Cited By ~ 35

Author(s):

Ka Hin Leung ◽

Siu Lun Ma

Keyword(s):

Difference Sets ◽

Relative Difference ◽

Partial Difference ◽

Partial Difference Sets ◽

Relative Difference Sets

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Partial Difference Sets with Paley Parameters

Bulletin of the London Mathematical Society ◽

10.1112/blms/27.6.553 ◽

1995 ◽

Vol 27 (6) ◽

pp. 553-564 ◽

Cited By ~ 29

Author(s):

Ka Hin Leung ◽

Siu Lun Ma

Keyword(s):

Difference Sets ◽

Partial Difference ◽

Partial Difference Sets

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Paley type partial difference sets in abelian groups

Journal of Combinatorial Designs ◽

10.1002/jcd.21691 ◽

2019 ◽

Vol 28 (2) ◽

pp. 149-152 ◽

Cited By ~ 1

Author(s):

Zeying Wang

Keyword(s):

Abelian Groups ◽

Difference Sets ◽

Partial Difference ◽

Partial Difference Sets

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New necessary conditions on Paley‐type partial difference sets in abelian groups

Journal of Combinatorial Designs ◽

10.1002/jcd.21655 ◽

2019 ◽

Vol 27 (7) ◽

pp. 415-419 ◽

Cited By ~ 1

Author(s):

Zeying Wang

Keyword(s):

Necessary Conditions ◽

Abelian Groups ◽

Difference Sets ◽

Partial Difference ◽

Partial Difference Sets

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New necessary conditions on (negative) Latin square type partial difference sets in abelian groups

Journal of Combinatorial Theory Series A ◽

10.1016/j.jcta.2019.105208 ◽

2020 ◽

Vol 172 ◽

pp. 105208

Author(s):

Zeying Wang

Keyword(s):

Necessary Conditions ◽

Abelian Groups ◽

Latin Square ◽

Difference Sets ◽

Partial Difference ◽

Partial Difference Sets

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Negative Latin square type partial difference sets and amorphic association schemes with Galois rings

Journal of Combinatorial Designs ◽

10.1002/jcd.20206 ◽

2009 ◽

Vol 17 (3) ◽

pp. 266-282 ◽

Cited By ~ 5

Author(s):

John Polhill

Keyword(s):

Latin Square ◽

Difference Sets ◽

Association Schemes ◽

Galois Rings ◽

Partial Difference ◽

Partial Difference Sets

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A construction of finite Frobenius rings and its application to partial difference sets

Journal of Algebra ◽

10.1016/j.jalgebra.2006.07.034 ◽

2007 ◽

Vol 309 (1) ◽

pp. 1-9 ◽

Cited By ~ 6

Author(s):

Xiang-dong Hou ◽

Alexandr A. Nechaev

Keyword(s):

Difference Sets ◽

Partial Difference ◽

Frobenius Rings ◽

Partial Difference Sets ◽

Finite Frobenius Rings

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Paley partial difference sets in groups of order n4 and 9n4 for any odd n>1

Journal of Combinatorial Theory Series A ◽

10.1016/j.jcta.2010.02.008 ◽

2010 ◽

Vol 117 (8) ◽

pp. 1027-1036 ◽

Cited By ~ 11

Author(s):

John Polhill

Keyword(s):

Difference Sets ◽

Partial Difference ◽

Partial Difference Sets

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