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A combinatorial approach to binary positional number systems

✍ Scribed by Vince, Andrew

Book ID
121591852
Publisher
Akadmiai Kiad
Year
2013
Tongue
English
Weight
612 KB
Volume
143
Category
Article
ISSN
1588-2632

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For an expanding matrix H ∈ Z kΓ—k , a subset W βŠ‚ Z k is called a complete digit set, if all points of the integer lattice Z k can be uniquely represented as a finite sum x = N(x) i=0 H i r i , with r i ∈ W and N(x) ∈ N. We present a necessary and sufficient condition for the existence of a complete