Document Type
Report
Source Publication Title
Technical Report 21
Abstract
A monic polynomial [see pdf for notation] is called perfect over GF(q) if and only if the sum [see pdf for notation] of the distinct monic divisors in GF[q,x] of A(x) equals A(x). Principal results characterize all perfect polynomials over GF(p) which split in GF[p,x]. Related results lead to conjectured analogs of the classical problem on the existence of odd perfect numbers.
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
3-1-1975
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
O'Connell Jr., James R.; Beard Jr., Jacob T. B.; and West, Karen I., "Perfect Polynomials Over GF(q)" (1975). Mathematics Technical Papers. 346.
https://mavmatrix.uta.edu/math_technicalpapers/346