Browsing Articles: Department of Mathematics and Statistics by Author "Hussein, Lao"

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    • Cycle Index Formulas for Dn Acting on Ordered pairs 

      Muthoka, Geoffrey; Kamuti, Ireri; Kimani, Patrick; Hussein, Lao (UoEm, 2016-04)
      The cycle index of dihedral group Dn acting on the set of the vertices of a regular n-gon was studied by Harary and Palmer in 1973 [1]. Since then a number of researchers have studied the cycle indices dihedral group ...

    • Enumeration of cyclic codes over GF(17) 

      Hussein, Lao; Kivunge, Benard; Muthoka, Geoffrey; Mwangi, Patrick (UoEm, 2015-05)
      In this paper we seek the number of irreducible polynomials of xn− 1 over GF(17). We factorize Xn− 1 over GF(17)into irreducible polynomials using cyclotomic cosets of 17 modulo n . The number of irreducible polynomials ...

    • On the Number of Cyclotomic Cosets and Cyclic Codes over Z13 

      Hussein, Lao; Kivunge, Benard; Kimani, Patrick; Muthoka, Geoffrey (UoEm, 2018-06)
      Let Zq be a finite field with q element and x n − 1 be a given cyclotomic polynomial. The number of cyclotomic cosets and cyclic codes has not been done in general. Although for different values of q the polynomial x n ...