Polynomial representation of complete sets of mutually orthogonal frequency squares of prime power order

DOI10.1016/0012-365X(88)90179-3zbMath0638.05010WikidataQ126844093 ScholiaQ126844093MaRDI QIDQ1099182

Gary L. Mullen

Publication date: 1988

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite fieldfrequency squaremutually orthogonal squares

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Polynomials over finite fields (11T06)

Related Items (15)

Nonisomorphic complete sets of \(F\)-rectangles with prime power dimensions ⋮ \(d\)-dimensional hypercubes and the Euler and MacNeish conjectures ⋮ Combinatorial methods in the construction of point sets with uniformity properties ⋮ Finite field constructions of combinatorial arrays ⋮ Generalizations of Bose's equivalence between complete sets of mutually orthogonal Latin squares and affine planes ⋮ Unnamed Item ⋮ \((s,r;\mu )\)-nets and alternating forms graphs ⋮ Sets of mutually orthogonal Sudoku frequency squares ⋮ Point sets with uniformity properties and orthogonal hypercubes ⋮ Polynomial representations of complete sets of frequency hyperrectangles with prime power dimensions ⋮ An affine design with v = m2h and k = m2h?1 not equivalent to a complete set of F(mh; mh?1) MOFS ⋮ Properties of complete sets of mutually equiorthogonal frequency hypercubes ⋮ Construction of complete sets of mutually equiorthogonal frequency hypercubes ⋮ Orthogonal hypercubes and related designs ⋮ A counter-example to a conjecture relating complete sets of frequency squares and affine geometries

Cites Work

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• Pairwise orthogonal F-rectangle designs
• On the construction of orthogonal F-squares of order n from an orthogonal array (n,k,s,2) and an OL(s,t) set
• Further contributions to the theory of F-squares design
• On the existence and construction of a complete set of orthogonal F(4t; 2t, 2t)-squares design
• Embedding cyclic Latin squares of order \(2^ n\) in a complete set of orthogonal F-squares
• Nonisomorphic complete sets of orthogonal f-squares and hadamard matrices
• Orthogonal Systems of Polynomials in Finite Fields
• $F$-Square and Orthogonal $F$-Squares Design: A Generalization of Latin Square and Orthogonal Latin Squares Design

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