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Non-Splitting Unitary Perfect Polynomials Over GF(q)t

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Non-Splitting Unitary Perfect Polynomials Over GF(q)t

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Title: Non-Splitting Unitary Perfect Polynomials Over GF(q)t
Author: Harbin, Mickie Sue; Beard, Jacob T. B., Jr.
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
URI: http://hdl.handle.net/10106/2482
Date: 1978-10

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