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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Online-Zugang: | https://arxiv.org/abs/2507.22142 |
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| _version_ | 1866909711372124160 |
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| author | Mohan, Divyarthi Ravindraraj, R. |
| author_facet | Mohan, Divyarthi Ravindraraj, R. |
| contents | We consider chaining multiplicative-inverse operations in finite fields under alternating polynomial bases. When using two distinct polynomial bases to alternate the inverse operation we obtain a partition of $\mathbb F_{p^n}\setminus \mathbb F_p$ into disjoint cycles of even length. This allows a natural interpretation of the cycles as permutation cycles. Finally, we explore chaining under more than two polynomial bases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_22142 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on multiplicative-inverse chaining in finite fields Mohan, Divyarthi Ravindraraj, R. Number Theory Combinatorics We consider chaining multiplicative-inverse operations in finite fields under alternating polynomial bases. When using two distinct polynomial bases to alternate the inverse operation we obtain a partition of $\mathbb F_{p^n}\setminus \mathbb F_p$ into disjoint cycles of even length. This allows a natural interpretation of the cycles as permutation cycles. Finally, we explore chaining under more than two polynomial bases. |
| title | A note on multiplicative-inverse chaining in finite fields |
| topic | Number Theory Combinatorics |
| url | https://arxiv.org/abs/2507.22142 |