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# Constructions for perfect maps and pseudorandom arrays

@article{Etzion1988ConstructionsFP, title={Constructions for perfect maps and pseudorandom arrays}, author={Tuvi Etzion}, journal={IEEE Trans. Information Theory}, year={1988}, volume={34}, pages={1308-1316} }

- Published 1988 in IEEE Trans. Information Theory
DOI:10.1109/18.21260

A construction of perfect maps, Le., periodic r X u binary arrays in which each n X m binary matrix appears exactly once, is given. A similar construction leads to arrays in which only the zero n X m matrix does not appear and to a construction in which only a few n X m binary matrices do not appear. A generalization to the nonbinary case is also given. The constructions involve an interesting problem in shift register theory. We give the solution for almost all the cases of this problem.

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