Construction of complete sets of mutually equiorthogonal frequency hypercubes

Discrete Mathematics

Volumn 186, Issue 1-3, 1998, Pages 237-251

  Morgan, Ilene H ^a  

^a MISSOURI UNIVERSITY OF SCIENCE AND TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0043286569     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(97)00195-7     Document Type: Article

References (13)

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3. J. Dénes, A.D. Keedwell, Latin Squares, Annals of Discrete Math., vol. 46, North-Holland, Amsterdam, 1991.
4. W.T. Federer, On the existence and construction of a complete set of orthogonal F(4t; 2t, 2t)-squares design, Ann. Statist. 5 (1977) 561-564.
5. A. Hedayat, W.D. Wallis, Hadamard matrices and their applications, Ann. Statist. 6 (1978) 1184-1238.
6. P. Höhler, Eine Verallgemeinerung von orthogonalen lateinischen Quadraten auf höhere Dimensionen., Diss. Dokt. Math. Eidgenöss, Hochschule Zürich, 1970.
7. R. Lidl, H. Niederreiter, Finite Fields, Encyclo. Math. & Appls., vol. 20, Addison-Wesley, Reading, MA, 1983 (now distributed by Cambridge Univ. Press).
8. J.P. Mandeli, F.-C.H. Lee, W.T. Federer, On the construction of orthogonal F-squares of order n from an orthogonal array (n,k,s,2) and an OL(s, t) set, J. Statist. Plann. Inference 5 (1981) 267-272.
9. I.H. Morgan, Equiorthogonal frequency hypercubes: preliminary theory, Designs, Codes and Cryptography, to appear.
10. I.H. Morgan, Properties of complete sets of mutually equiorthogonal frequency hypercubes, preprint.
11. G.L. Mullen, Polynomial representation of complete sets of frequency squares of prime power order, Discrete Math. 69 (1988) 79-84.
12. A.P. Street, D.J. Street, Combinatorics of Experimental Design, Oxford Sci. Publ., Clarendon Press, Oxford, 1987.
13. S.J. Suchower, Polynomial representations of complete sets of frequency hyperrectangles with prime power dimensions, J. Combin. Theory Ser. A 62 (1993) 46-65.