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

Xiang-Dong Hou; Ka Hin Leung; Qing Xiang

doi:10.1006/ffta.2000.0307

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):

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

Download Full-text

Constructions of Partial Difference Sets and Relative Difference Sets Using Galois Rings

Designs and Finite Geometries ◽

10.1007/978-1-4613-1395-3_16 ◽

1996 ◽

pp. 215-227

Author(s):

D. K. Ray-Chaudhuri ◽

Qing Xiang

Keyword(s):

Difference Sets ◽

Relative Difference ◽

Galois Rings ◽

Partial Difference ◽

Partial Difference Sets ◽

Relative Difference Sets

Download Full-text

Constructions of Partial Difference Sets and Relative Difference Sets Using Galois Rings II

Journal of Combinatorial Theory Series A ◽

10.1006/jcta.1996.0100 ◽

1996 ◽

Vol 76 (2) ◽

pp. 179-196 ◽

Cited By ~ 28

Author(s):

Yu Qing Chen ◽

D.K. Ray-Chaudhuri ◽

Qing Xiang

Keyword(s):

Difference Sets ◽

Relative Difference ◽

Galois Rings ◽

Partial Difference ◽

Partial Difference Sets ◽

Relative Difference Sets

Download Full-text

Constructions of partial difference sets and relative difference sets using Galois rings

Designs Codes and Cryptography ◽

10.1007/bf00130580 ◽

1996 ◽

Vol 8 (1-2) ◽

pp. 215-227 ◽

Cited By ~ 10

Author(s):

D. K. Ray-Chaudhuri ◽

Qing Xiang

Keyword(s):

Difference Sets ◽

Relative Difference ◽

Galois Rings ◽

Partial Difference ◽

Partial Difference Sets ◽

Relative Difference Sets

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text