Dembowski-Ostrom polynomials and Dickson polynomials
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| _version_ | 1866910799457419264 |
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| author | Hasan, Sartaj Ul Pal, Mohit |
| author_facet | Hasan, Sartaj Ul Pal, Mohit |
| contents | We give a complete classification of Dembowski-Ostrom polynomials from the composition of Dickson polynomials of arbitrary kind and monomials over finite fields. Moreover, by using a variant of the Weil bound for the number of points of affine algebraic curves over finite fields, we discuss the planarity of the obtained Dembowski-Ostrom polynomials. Dembowski-Ostrom polynomials play a crucial role in coding theory and cryptography. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1911_01131 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Dembowski-Ostrom polynomials and Dickson polynomials Hasan, Sartaj Ul Pal, Mohit Number Theory 12E20, 11T55, 05A10, 11T06 We give a complete classification of Dembowski-Ostrom polynomials from the composition of Dickson polynomials of arbitrary kind and monomials over finite fields. Moreover, by using a variant of the Weil bound for the number of points of affine algebraic curves over finite fields, we discuss the planarity of the obtained Dembowski-Ostrom polynomials. Dembowski-Ostrom polynomials play a crucial role in coding theory and cryptography. |
| title | Dembowski-Ostrom polynomials and Dickson polynomials |
| topic | Number Theory 12E20, 11T55, 05A10, 11T06 |
| url | https://arxiv.org/abs/1911.01131 |