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Intersecting codes and partially identifying codes

✍ Scribed by G. Cohen; S. Encheva; S. Litsyn


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
508 KB
Volume
6
Category
Article
ISSN
1571-0653

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πŸ“œ SIMILAR VOLUMES


Linear intersecting codes
✍ GΓ©rard Cohen; Abraham Lempel πŸ“‚ Article πŸ“… 1985 πŸ› Elsevier Science 🌐 English βš– 358 KB

We study pairs of binary linear codes Cl(n, nR1), C2(n, nR 2) with the property that for any nonzero cl c C~ and c2~ C 2, there are coordinates in which both c, and c 2 are nonzero.

Parent-Identifying Codes
✍ Noga Alon; Eldar Fischer; Mario Szegedy πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 112 KB

For a set C of words of length 4 over an alphabet of size n, and for a, b # C, let D(a, b) be the set of all descendants of a and b, that is, all words x of length 4 where x i # [a i , b i ] for all 1 i 4. The code C satisfies the Identifiable Parent Property if for any descendant of two code-words

Covering arrays and intersecting codes
✍ N. J. A. Sloane πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 680 KB

A t-covering array is a set of k binary vectors of length n with the property that, in any t coordinate positions, all 2t possibilities occur at least once. Such arrays are used for example in circuit testing, and one wishes to minimize k for given values of n and t. The case t = 2 was solved by Rkn

On Identifying Codes in Binary Hamming S
✍ Iiro Honkala; Antoine Lobstein πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 138 KB

A binary code C f0; 1g n is called r-identifying, if the sets B r ðxÞ \ C; where B r ðxÞ 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 ðnÞ the minimum possible cardinality of a binary r-identifying code in f0; 1g n : We prove