Constructions for mutually orthogonal frequency hyperrectangles with a prescribed type

Bo Cheng, Gary L. Mullen

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

In this paper, we give two different ways to construct mutually orthogonal frequency hyperrectangles (MOFHR). Firstly, we exhibit sets of linear polynomials over finite fields that represent complete sets of MOFHR of prime power order, which generalize Mullen's method in (G.L. Mullen, Discrete Math. 69 (1988) 79-84). Secondly, a recursive algorithm is given to construct (d + 1 )-dimensional MOFHR of type t + 1 from d-dimensional MOFHR of type t, which generalizes a recursive procedure described in (Laywine et al., Monatsch Math. 119 (1995) 223-238).

Original languageEnglish (US)
Pages (from-to)55-64
Number of pages10
JournalDiscrete Mathematics
Volume242
Issue number1-3
DOIs
StatePublished - Jun 1 2002

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

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