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...
| Main Authors: | , , |
|---|---|
| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2013
|
| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/79823 http://hdl.handle.net/10220/9863 |
| _version_ | 1811693058013528064 |
|---|---|
| author | Leung, Ka Hin Ling, San Ma, Siu Lun |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Leung, Ka Hin Ling, San Ma, Siu Lun |
| author_sort | Leung, Ka Hin |
| collection | NTU |
| 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. |
| first_indexed | 2024-10-01T06:45:38Z |
| format | Journal Article |
| id | ntu-10356/79823 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T06:45:38Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-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 |
| spellingShingle | DRNTU::Science::Mathematics Leung, Ka Hin Ling, San Ma, Siu Lun Constructions of semi-regular relative difference sets |
| title | 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_short | Constructions of semi-regular relative difference sets |
| title_sort | constructions of semi regular relative difference sets |
| topic | DRNTU::Science::Mathematics |
| url | https://hdl.handle.net/10356/79823 http://hdl.handle.net/10220/9863 |
| work_keys_str_mv | AT leungkahin constructionsofsemiregularrelativedifferencesets AT lingsan constructionsofsemiregularrelativedifferencesets AT masiulun constructionsofsemiregularrelativedifferencesets |