Constructions of semi-regular relative difference sets

J. A. Davis, J. Jedwab, and M. Mowbray (1998, Des. Codes Cryptogr. 13, 131-146) gave two new constructions for semi-regular relative difference sets (RDSs). They asked if the two constructions could be unified. In this paper, we show that the two constructions are closely related. In fact, the secon...

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Main Authors: Leung, Ka Hin, Ling, San, Ma, Siu Lun
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2013
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Online Access:https://hdl.handle.net/10356/79823
http://hdl.handle.net/10220/9863
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-798232023-02-28T19:30:59Z Constructions of semi-regular relative difference sets Leung, Ka Hin Ling, San Ma, Siu Lun School of Physical and Mathematical Sciences DRNTU::Science::Mathematics J. A. Davis, J. Jedwab, and M. Mowbray (1998, Des. Codes Cryptogr. 13, 131-146) gave two new constructions for semi-regular relative difference sets (RDSs). They asked if the two constructions could be unified. In this paper, we show that the two constructions are closely related. In fact, the second construction should be viewed as an extension of the first. Furthermore, we generalize the second construction to obtain new RDSs. Accepted version 2013-04-24T01:16:09Z 2019-12-06T13:34:47Z 2013-04-24T01:16:09Z 2019-12-06T13:34:47Z 2001 2001 Journal Article Leung, K. H., Ling, S., & Ma, S. L. (2001). Constructions of Semi-regular Relative Difference Sets. Finite Fields and Their Applications, 7(3), 397-414. 1071-5797 https://hdl.handle.net/10356/79823 http://hdl.handle.net/10220/9863 10.1006/ffta.2000.0318 en Finite fields and their applications © 2001 Academic Press. This is the author created version of a work that has been peer reviewed and accepted for publication by Finite Fields and Their Applications, Academic Press. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1006/ffta.2000.0318]. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Science::Mathematics
spellingShingle DRNTU::Science::Mathematics
Leung, Ka Hin
Ling, San
Ma, Siu Lun
Constructions of semi-regular relative difference sets
description J. A. Davis, J. Jedwab, and M. Mowbray (1998, Des. Codes Cryptogr. 13, 131-146) gave two new constructions for semi-regular relative difference sets (RDSs). They asked if the two constructions could be unified. In this paper, we show that the two constructions are closely related. In fact, the second construction should be viewed as an extension of the first. Furthermore, we generalize the second construction to obtain new RDSs.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Leung, Ka Hin
Ling, San
Ma, Siu Lun
format Article
author Leung, Ka Hin
Ling, San
Ma, Siu Lun
author_sort Leung, Ka Hin
title Constructions of semi-regular relative difference sets
title_short Constructions of semi-regular relative difference sets
title_full Constructions of semi-regular relative difference sets
title_fullStr Constructions of semi-regular relative difference sets
title_full_unstemmed Constructions of semi-regular relative difference sets
title_sort constructions of semi-regular relative difference sets
publishDate 2013
url https://hdl.handle.net/10356/79823
http://hdl.handle.net/10220/9863
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