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A Polynomial Dual of Partitions
(University of Texas at Arlington, 1974-09)
**Please note that the full text is embargoed** ABSTRACT: Let [see pdf for notation] be a non-negative integral polynomial.
The polynomial P(x) is m-graphical, and a multi-graph G a realization of P(x), provided there ...
Unitary Perfect Polynomials Over GF(q)
(University of Texas at Arlington, 1975-03)
**Please note that the full text is embargoed** ABSTRACT: For monic polynomials A(x), B(x) e GF[q,x], call B(x) a unitary divisor of A(x) provided (B(x),A(x)/B(x)) = 1 . The polynomial A(x) is called unitary perfect over ...
Infinitely Many Perfect and Unitary Perfect Polynomials Over Some GF(q)
(University of Texas at Arlington, 1977-05)
**Please note that the full text is embargoed** ABSTRACT: The existence is shown of infinitely many non-splitting perfect polynomials over GF(2d), GF(3d), GF(5d) for each odd integer d > 1, and over GF(2d)
for each (even) ...
Matrix Fields Over the Integers Modulo m
(University of Texas at Arlington, 1974-10)
**Please note that the full text is embargoed** ABSTRACT: Let Zm denote the ring of integers modulo m and let [see pdf for notation] denote the complete ring of all [see pdf for notation] matrices over Zm under the usual ...
Perfect Polynomials Over GF(q)
(University of Texas at Arlington, 1975-03)
**Please note that the full text is embargoed** 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 ...
Non-Splitting Unitary Perfect Polynomials Over GF(q)t
(University of Texas at Arlington, 1978-10)
**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 ...