Now showing items 1-6 of 6

    • Infinitely Many Perfect and Unitary Perfect Polynomials Over Some GF(q) 

      Harbin, Mickie Sue; Bullock, A.T.; Beard, Jacob T. B., Jr. (University of Texas at ArlingtonDepartment of Mathematics, 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 

      McConnel, Robert M.; Beard, Jacob T. B., Jr. (University of Texas at ArlingtonDepartment of Mathematics, 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 ...
    • Non-Splitting Unitary Perfect Polynomials Over GF(q)t 

      Harbin, Mickie Sue; Beard, Jacob T. B., Jr. (University of Texas at ArlingtonDepartment of Mathematics, 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 ...
    • Perfect Polynomials Over GF(q) 

      O'Connell, James R., Jr.; Beard, Jacob T. B., Jr.; West, Karen I. (University of Texas at ArlingtonDepartment of Mathematics, 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 ...
    • A Polynomial Dual of Partitions 

      Beard, Jacob T. B., Jr.; Dorris, Ann D. (University of Texas at ArlingtonDepartment of Mathematics, 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) 

      Beard, Jacob T. B., Jr. (University of Texas at ArlingtonDepartment of Mathematics, 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 ...