Constructions for mutually orthogonal frequency hyperrectangles with a prescribed type

Bo Cheng; Gary L. Mullen

doi:10.1016/S0012-365X(00)00457-X

Constructions for mutually orthogonal frequency hyperrectangles with a prescribed type

Bo Cheng, Gary L. Mullen

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	55-64
Number of pages	10
Journal	Discrete Mathematics
Volume	242
Issue number	1-3
DOIs	https://doi.org/10.1016/S0012-365X(00)00457-X
State	Published - Jun 1 2002

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/S0012-365X(00)00457-X

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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).",

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AB - 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).

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Constructions for mutually orthogonal frequency hyperrectangles with a prescribed type

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