Association schemes arising from bent functions
We give a construction of 3-class and 4-class association schemes from s-nonlinear and differentially 2s-uniform functions, and a construction of p-class association schemes from weakly regular p-ary bent functions, where p is an odd prime.
| Main Authors: | , , , |
|---|---|
| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2012
|
| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/94475 http://hdl.handle.net/10220/7720 |
| _version_ | 1826121539172433920 |
|---|---|
| author | Pott, Alexander Tan, Yin Feng, Tao Ling, San |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Pott, Alexander Tan, Yin Feng, Tao Ling, San |
| author_sort | Pott, Alexander |
| collection | NTU |
| description | We give a construction of 3-class and 4-class association schemes from s-nonlinear and differentially 2s-uniform functions, and a construction of p-class association schemes from weakly regular p-ary bent functions, where p is an odd prime. |
| first_indexed | 2024-10-01T05:33:53Z |
| format | Journal Article |
| id | ntu-10356/94475 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T05:33:53Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | ntu-10356/944752023-02-28T19:39:18Z Association schemes arising from bent functions Pott, Alexander Tan, Yin Feng, Tao Ling, San School of Physical and Mathematical Sciences DRNTU::Science::Mathematics We give a construction of 3-class and 4-class association schemes from s-nonlinear and differentially 2s-uniform functions, and a construction of p-class association schemes from weakly regular p-ary bent functions, where p is an odd prime. Accepted version 2012-04-11T05:49:23Z 2019-12-06T18:56:43Z 2012-04-11T05:49:23Z 2019-12-06T18:56:43Z 2011 2011 Journal Article Pott, A., Tan, Y., Feng, T., & Ling, S. (2011). Association schemes arising from bent functions. Designs, Codes and Cryptography, 59, 319-331. https://hdl.handle.net/10356/94475 http://hdl.handle.net/10220/7720 10.1007/s10623-010-9463-z en Designs, codes and cryptography © 2011 Springer. This is the author created version of a work that has been peer reviewed and accepted for publication by Designs, Codes and Cryptography, Springer. 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/10.1007/s10623-010-9463-z 13 p. application/pdf |
| spellingShingle | DRNTU::Science::Mathematics Pott, Alexander Tan, Yin Feng, Tao Ling, San Association schemes arising from bent functions |
| title | Association schemes arising from bent functions |
| title_full | Association schemes arising from bent functions |
| title_fullStr | Association schemes arising from bent functions |
| title_full_unstemmed | Association schemes arising from bent functions |
| title_short | Association schemes arising from bent functions |
| title_sort | association schemes arising from bent functions |
| topic | DRNTU::Science::Mathematics |
| url | https://hdl.handle.net/10356/94475 http://hdl.handle.net/10220/7720 |
| work_keys_str_mv | AT pottalexander associationschemesarisingfrombentfunctions AT tanyin associationschemesarisingfrombentfunctions AT fengtao associationschemesarisingfrombentfunctions AT lingsan associationschemesarisingfrombentfunctions |