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Two families of optimal identifying codes in binary Hamming spaces

โœ Scribed by Ranto, S.M.; Honkala, I.S.; Laihonen, T.K.


Book ID
114542194
Publisher
IEEE
Year
2002
Tongue
English
Weight
269 KB
Volume
48
Category
Article
ISSN
0018-9448

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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