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On Codes Identifying Sets of Vertices in Hamming Spaces

โœ Scribed by Iiro Honkala; Tero Laihonen; Sanna Ranto


Book ID
110299078
Publisher
Springer
Year
2001
Tongue
English
Weight
98 KB
Volume
24
Category
Article
ISSN
0925-1022

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๐Ÿ“œ SIMILAR VOLUMES


On Identifying Codes in Binary Hamming S
โœ Iiro Honkala; Antoine Lobstein ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 138 KB

A binary code C f0; 1g n is called r-identifying, if the sets B r รฐxรž \ C; where B r รฐxรž is the set of all vectors within the Hamming distance r from x; are all nonempty and no two are the same. Denote by M r รฐnรž the minimum possible cardinality of a binary r-identifying code in f0; 1g n : We prove