A note on multiplicative-inverse chaining in finite fields
Number Theory
2025-07-31 v1 Combinatorics
Abstract
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 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.
Cite
@article{arxiv.2507.22142,
title = {A note on multiplicative-inverse chaining in finite fields},
author = {Divyarthi Mohan and R. Ravindraraj},
journal= {arXiv preprint arXiv:2507.22142},
year = {2025}
}