Results 11 to 20 of about 36,289 (270)

Group Divisible Codes and Their Application in the Construction of Optimal Constant-Composition Codes of Weight Three [PDF]

, 2008
The concept of group divisible codes, a generalization of group divisible designs with constant block size, is introduced in this paper. This new class of codes is shown to be useful in recursive constructions for constant-weight and constant-composition
Chee, Yeow Meng, Ge, Gennian, Ling, Alan C. H.   +2 more
core   +1 more source

Semifields, relative difference sets, and bent functions [PDF]

, 2014
Recently, the interest in semifields has increased due to the discovery of several new families and progress in the classification problem. Commutative semifields play an important role since they are equivalent to certain planar functions (in the case ...
Pott, Alexander, Schmidt, Kai-Uwe, Zhou, Yue   +2 more
core   +2 more sources

CONSTRUCTIONS OF GROUP DIVISIBLE DESIGNS

JOURNAL OF THE JAPAN STATISTICAL SOCIETY, 1995
Summary: Methods of construction of group divisible designs are discussed. Making use of these methods, a new group divisible design and nine new non-isomorphic solutions for group divisible designs are given in the same range of parameters as by \textit{W. H. Clatworthy} [Tables of two-associate-class partially balanced designs. (1973; Zbl 0289.05017)]
Duan, Xiaoping, Kageyama, Sanpei
openaire   +3 more sources

Resolvable Group Divisible Designs with Large Groups

The Electronic Journal of Combinatorics, 2016
We prove that the necessary divisibility conditions are sufficient for the existence of resolvable group divisible designs with a fixed number of sufficiently large groups. Our method combines an application of the Rees product construction with a streamlined recursion based on incomplete transversal designs. With similar techniques, we also obtain new
Dukes, Peter J., Lamken, Esther R., Ling, Alan C. H.   +2 more
openaire   +2 more sources

Spectrum of Sizes for Perfect Deletion-Correcting Codes [PDF]

, 2010
One peculiarity with deletion-correcting codes is that perfect $t$-deletion-correcting codes of the same length over the same alphabet can have different numbers of codewords, because the balls of radius $t$ with respect to the Levenshte\u{\i}n distance ...
Alan C. H. Ling, Bennett F. E., Gennian Ge, Harms J. J., Levenshte n V. I., Levenshte n V. I., Levenshte n V. I., Ratzer E. A., Rees R., Sarvate D. G., Schönheim J., Sellers F. F., Street D. J., Street D. J., Varshamov R. R., Yeow Meng Chee   +15 more
core   +1 more source

Generalized binary arrays from quasi-orthogonal cocycles [PDF]

, 2020
Generalized perfect binary arrays (GPBAs) were used by Jedwab to construct perfect binary arrays. A non-trivial GPBA can exist only if its energy is 2 or a multiple of 4. This paper introduces generalized optimal binary arrays (GOBAs) with even energy
Armario Sampalo, José Andrés, Flannery, D. L.   +1 more
core   +2 more sources

Collusion Attack Resilient 3D Mesh Watermarking Based on Anti-Collusion Fingerprint Code

Applied Sciences, 2018
Collusion attack is one of the techniques used for unauthorized removal of embedded marks. However, there are no algorithms that utilize the averaging-resilient fingerprint code into 3D mesh watermarking.
Jong-Uk Hou, In-Jae Yu, Heung-Kyu Lee
doaj   +1 more source

Constructions of Sarvate-Beam Group Divisible Designs

Graphs and Combinatorics, 2022
A balanced incomplete block design is a set system in which all pairs of distinct elements occur with a constant frequency. By contrast, a Sarvate-Beam design induces an interval of distinct frequencies on pairs. In this paper, we settle the existence of a Sarvate-Beam variant of group divisible designs of uniform type with block size three.
Peter J. Dukes, Joanna Niezen
openaire   +3 more sources

Quasi-Hadamard Full Propelinear Codes [PDF]

, 2018
In this paper, we give a characterization of quasi-Hadamard groups in terms of propelinear codes. We define a new class of codes that we call quasi-Hadamard full propelinear codes.
Armario Sampalo, José Andrés, Bailera, Iván, Borges, Joachim, Rifá, Josep   +3 more
core   +1 more source

Sickle Cell Disease Is an Inherent Risk for Asthma in a Sibling Comparison Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Introduction Sickle cell disease (SCD) and asthma share a complex relationship. Although estimates vary, asthma prevalence in children with SCD is believed to be comparable to or higher than the general population. Determining whether SCD confers an increased risk for asthma remains challenging due to overlapping symptoms and the ...
Suhei C. Zuleta De Bernardis, Okeleji Olayinka, Mariam Z. Quraishi, Lakshmi V. Srivaths, Deborah L. Brown, Neethu M. Menon, Ricardo A. Mosquera, Ashwin P. Patel, James M. Stark, Aravind Yadav   +9 more
wiley   +1 more source