On fundamental sets over a finite field
A partition over finite field is defined and each equivalence class is constructed and represented by a set called the fundamental set. If a primitive element is used to construct the addition table over these fundamental sets then all additions over the field can be computed. The number of partitio...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1985-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171285000394 |
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| _version_ | 1832556045362266112 |
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| author | Yousef Abbas Joseph J. Liang |
| author_facet | Yousef Abbas Joseph J. Liang |
| author_sort | Yousef Abbas |
| collection | DOAJ |
| description | A partition over finite field is defined and each equivalence class is constructed and represented by a set called the fundamental set. If a primitive element is used to construct the addition table over these fundamental sets then all additions over the field can be computed. The number of partitions is given for some finite fields. |
| format | Article |
| id | doaj-art-1a63715477d84c158648e157c51f256c |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1985-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1a63715477d84c158648e157c51f256c2025-02-03T05:46:24ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251985-01-018237338810.1155/S0161171285000394On fundamental sets over a finite fieldYousef Abbas0Joseph J. Liang1Department of Mathematics, University of South Florida, Tampa 33620, Florida, USADepartment of Mathematics, University of South Florida, Tampa 33620, Florida, USAA partition over finite field is defined and each equivalence class is constructed and represented by a set called the fundamental set. If a primitive element is used to construct the addition table over these fundamental sets then all additions over the field can be computed. The number of partitions is given for some finite fields.http://dx.doi.org/10.1155/S0161171285000394finite fieldprimitive polynomial. |
| spellingShingle | Yousef Abbas Joseph J. Liang On fundamental sets over a finite field International Journal of Mathematics and Mathematical Sciences finite field primitive polynomial. |
| title | On fundamental sets over a finite field |
| title_full | On fundamental sets over a finite field |
| title_fullStr | On fundamental sets over a finite field |
| title_full_unstemmed | On fundamental sets over a finite field |
| title_short | On fundamental sets over a finite field |
| title_sort | on fundamental sets over a finite field |
| topic | finite field primitive polynomial. |
| url | http://dx.doi.org/10.1155/S0161171285000394 |
| work_keys_str_mv | AT yousefabbas onfundamentalsetsoverafinitefield AT josephjliang onfundamentalsetsoverafinitefield |