Multiplicative orders of elements in Conway towers of finite fields
Roman Popovych
TL;DR
This paper establishes lower bounds on the multiplicative orders of certain elements in Conway towers of finite fields of characteristic two and provides conditions for these elements to be primitive, advancing understanding of their algebraic properties.
Contribution
It introduces new bounds on element orders in Conway towers and formulates criteria for their primitiveness, enhancing algebraic insights into finite field structures.
Findings
Lower bounds on multiplicative orders established
Conditions for elements to be primitive formulated
Advances understanding of algebraic properties in Conway towers
Abstract
We give a lower bound on multiplicative orders of some elements in defined by Conway towers of finite fields of characteristic two and also formulate a condition under that these elements are primitive
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsCoding theory and cryptography · graph theory and CDMA systems · Cryptography and Residue Arithmetic