Title
Bounds and Constructions for $\overline{3}$-Separable Codes with Length 3.
Abstract
Separable codeswere introduced to provide protection against illegal redistribution of copyrighted multimedia material. Let C be a code of length n over an alphabet of q letters. The descendant code desc(C-0) of C-0 = {c(1), c(2),..., c(t)} subset of C is defined to be the set of words x = (x(1), x(2),..., x(n))(T) such that x(i) is an element of {c(1), i, c(2), i,..., c(t, i)} for all i = 1,..., n, where c(j) = (c(j), 1, c(j, 2,)..., c(j, n))(T). C is a (t) over bar -separable code if for any two distinct C-1, C-2 subset of C with vertical bar C-1| <= t, vertical bar C-2 vertical bar <= t, we always have desc(C-1) not equal desc(C-2). Let M((t) over bar, n, q) denote the maximal possible size of such a separable code. In this paper, an upper bound on M((3) over bar, 3, q) is derived by considering an optimization problem, and then two constructions for (3) over bar -SC(3, M, q)s are provided by means of perfect hash families and Steiner triple systems.
Year
DOI
Venue
2015
10.1007/s10623-015-0160-9
DESIGNS CODES AND CRYPTOGRAPHY
Keywords
Field
DocType
Multimedia fingerprinting,Separable code,Partial Latin square,Perfect hash family,Steiner triple system
Discrete mathematics,Combinatorics,Separable space,Mathematics,Alphabet,Steiner system
Journal
Volume
Issue
ISSN
81.0
2
0925-1022
Citations 
PageRank 
References 
0
0.34
7
Authors
5
Name
Order
Citations
PageRank
M. Cheng115420.36
Jing Jiang2236.48
Haiyan Li300.68
Ying Miao449143.85
Xiaohu Tang51294121.15