TraceabilityCodes are CombinatorialObjects introduced by Chor, Fiat and Naor in 1994[7] to be used traitor tracing protect Digital Content. Frameproof Codes were given byBoneh Shaw 1994 prevent privacy gave the idea of c-secure codes withέ-error. Traceable is a strong form Codes. Balanced Incomplete Block Design frameproof arealready available literature [4]. Here this paper we will define how ...


 In block design, construction of Balanced Incomplete Block Design (BIBD) remained an unsolved problem in combinatorial design; also various techniques have been introduced to build the elements BIBDs for specific parameters; no general method has proposed find a suitable structure BIBDs. This paper aim at employing Finite Euclidean Geometry FEG (N,s) N – dimensional space construct balan...

Definition: Let v, k, and λ be positive integers such that v > k ≥ 2. A (v, k, λ)-balanced incomplete block design (which we abbreviate to (v, k, λ)-BIBD) is a design (X,A) such that the following properties are satisfied: 1. |X| = v, 2. Each block contains exactly k points, and 3. Every pair of distinct points is contained in exactly λ blocks. Property 3 in the definition above is the “balance...

Balanced incomplete-block designs (BIBDs) with repeated blocks are studied and constructed. We continue work initiated by van Lint and Ryser in 1972 and pursued by van Lint in 1973. We concentrate on constructing (v, b, r, k, λ)-BIBDs with repeated blocks, especially those with gcd(b, r, λ) = 1 and r ≤ 20. We obtain new bounds for the multiplicity of a block in terms of the parameters of a BIBD...

In this article, we consider the construction of generalized group divisible designs with two groups (GGDD (2)) from balanced incomplete block designs (BIBD). We also discuss MV-optimality of these designs.

The method is proposed for building a fault-tolerant system area network (SAN) as a flat network comprised of several copies of the source network. This flat network is based on a theory of balanced incomplete block designs (BIBD).

A balanced incomplete block design BIBD(v, k, λ) is a pair (V,B) where V is a v-set (points) and B is a collection of k-subsets of V (blocks) such that each pair of elements of V occurs in exactly λ blocks. A k-tournament is a directed graph on k vertices in which there is exactly one arc between any two distinct vertices. Given a k-tournament T , we call a BIBD(v, k, 2) T -orientable if it is ...

Using Lagrange’s multiplier rule, we find upper and lower bounds of the energy of a bipartite graph G, in terms of the number of vertices, edges and the spectral moment of fourth order. Moreover, the upper bound is attained in a graph G if and only if G is the graph of a symmetric balanced incomplete block design (BIBD). Also, we determine the graphs for which the lower bound is sharp.  2003 E...

This paper presents a novel approach for constructing structured regular QC-LDPC codes based on a special type of combinatorial designs,known as the balanced incomplete block design (BIBD).The code design approach based on the technology of block cyclic shift and dispertion (BCSD) for correcting erasure-bursts over the binary bursts erasure channel (BBEC). Furthermore, the Tanner graph of the c...

Abstract Remove unwanted variation (RUV) is an estimation and normalization system in which the underlying correlation structure of a multivariate dataset estimated from negative control measurements, typically gene expression values, are assumed to stay constant across experimental conditions. In this paper we derive weight matrix incorporated into generalized least squares estimates RUV‐inver...