# Bounds on the rate of separating codes

Bounds on the rate of separating codes A code with words in a finite alphabet is said to be an (s, l) separating code if for any two disjoint collections of its words of size at most s and l, respectively, there exists a coordinate in which the set of symbols of the first collection do not intersect the set of symbols of the second. The main goal of the paper is obtaining new bounds on the rate of (s, l) separating codes. Bounds on the rate of binary (s, l) separating codes, the most important for applications, are studied in more detail. We give tables of numerical values of the best presently known bounds on the rate. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

# Bounds on the rate of separating codes

Problems of Information Transmission, Volume 53 (1) – Apr 23, 2017
12 pages

/lp/springer_journal/bounds-on-the-rate-of-separating-codes-Y5hzIxgMVX
Publisher
Springer Journals
Subject
Engineering; Communications Engineering, Networks; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1134/S0032946017010021
Publisher site
See Article on Publisher Site

### Abstract

A code with words in a finite alphabet is said to be an (s, l) separating code if for any two disjoint collections of its words of size at most s and l, respectively, there exists a coordinate in which the set of symbols of the first collection do not intersect the set of symbols of the second. The main goal of the paper is obtaining new bounds on the rate of (s, l) separating codes. Bounds on the rate of binary (s, l) separating codes, the most important for applications, are studied in more detail. We give tables of numerical values of the best presently known bounds on the rate.

### Journal

Problems of Information TransmissionSpringer Journals

Published: Apr 23, 2017

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