Upper bounds for cyclotomic numbers

Let q be a power of a prime p, let k be a nontrivial divisor of q−1 and write e=(q−1)/k. We study upper bounds for cyclotomic numbers (a,b) of order e over the finite field Fq. A general result of our study is that (a,b)≤3 for all a,b∈Z if p>(14−−√)k/ordk(p). More conclusive results will be obtai...

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Bibliographic Details
Main Authors: Duc, Tai Do, Leung, Ka Hin, Schmidt, Bernhard
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2020
Subjects:
Online Access:https://hdl.handle.net/10356/145013
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Institution: Nanyang Technological University
Language: English