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The close relationship between perfect binary arrays and higher-dimensional Hadamard matrices is determined in the letter. With this relationship we have proved that there exists no one-dimensional perfect binary array with energy greater than four. We conjecture that this relationship may be helpful for the study of other higher-dimensional perfect binary arrays.
References
-
-
1)
-
Hammer ,
Seberry
.
Higher dimensional orthogonal designs and applications.
IEEE Trans.
,
772 -
779
-
2)
-
L. Bomer ,
M. Antweiler
.
Perfect binary arrays with 36 elements.
Electron. Lett.
,
730 -
732
-
3)
-
D. Calabro ,
J.K. Wolf
.
On the synthesis of two dimensional arrays with desirable correlation properties.
Inf. & Control
,
537 -
560
-
4)
-
P.J. Shlichta
.
Higher dimensional Hadamard matrices.
IEEE Trans.
,
566 -
572
-
5)
-
Yang Yi Xian
.
Proofs of some conjectures on higher dimensional Hadamard matrices.
Sci. Bull
,
1662 -
1667
-
6)
-
Y.Y. Xian
.
The operations and applications about higher dimensional matrices.
J. Chengdu Inst. Radio Eng.
,
191 -
199
-
7)
-
Y.Y. Xian
.
On the numeration of 5-dimensional Hadamard matrices of order 2.
J. Beijing Univ. Posts & Telecommun.
-
8)
-
P.J. Shlichta
.
Three and four dimensional Hadamard matrices.
Bull. Am. Phys. Soc, Ser. 11
,
825 -
826
-
9)
-
H.D. Luke
.
Zweidimensionale Folgen mit perfekten periodischen Korrelationsfunktionen.
Frequenz
-
10)
-
Y.Y. Xian
.
On the classification of 24 Hadamard matrices.
J. Syst. Sci. & Math. Sci.
,
40 -
46
-
11)
-
Y.Y. Xian
.
New proof of higher dimensional Hadamard matrices.
J. Syst. Sci. & Math. Sci.
,
346 -
349
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