Non-Splitting Unitary Perfect Polynomials Over GF(q)t
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Date
1978-10Author
Harbin, Mickie Sue
Beard, Jacob T. B., Jr.
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**Please note that the full text is embargoed** 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