Document Type
Report
Source Publication Title
Technical Report 96
Abstract
It has been conjectured that there are infinitely many distinct pd-equivalence classes of non-splitting unitary perfect polynomials over GF(pd) for each prime p and each odd integer d > 1. The conjecture is proved in the affirmative in the cases i) p < 97, ii) 2 ^ GF(p) is not a square, iii) 2 ^ GF(p) is a square and all of the positive integer intervals determined by distinct odd powers of ^t contain a square, where GF*(p) = (^). In addition, it has been determined that iii) is satisfied by 314 primes p > 97.2
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
10-1-1978
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Harbin, Mickie Sue and Beard Jr., Jacob T. B., "Non-Splitting Unitary Perfect Polynomials Over GF(q)t" (1978). Mathematics Technical Papers. 22.
https://mavmatrix.uta.edu/math_technicalpapers/22