A Note on the Uniqueness of (w, r) Cover-Free Codes

A Note on the Uniqueness of (w, r) Cover-Free Codes A binary code is called a (w, r) cover-free code if it is the incidence matrix of a family of sets where the intersection of any w sets is not covered by the union of any other r sets. For certain (w, r) cover-free codes with a simple structure, we obtain a new condition of optimality and uniqueness up to row and/or column permutations. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

A Note on the Uniqueness of (w, r) Cover-Free Codes

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Publisher
Springer Journals
Copyright
Copyright © 2005 by MAIK "Nauka/Interperiodica"
Subject
Engineering; Communications Engineering, Networks; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1007/s11122-005-0024-4
Publisher site
See Article on Publisher Site

Abstract

A binary code is called a (w, r) cover-free code if it is the incidence matrix of a family of sets where the intersection of any w sets is not covered by the union of any other r sets. For certain (w, r) cover-free codes with a simple structure, we obtain a new condition of optimality and uniqueness up to row and/or column permutations.

Journal

Problems of Information TransmissionSpringer Journals

Published: Oct 17, 2005

References

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