graph codes
Recently Published Documents


TOTAL DOCUMENTS

71
(FIVE YEARS 2)

H-INDEX

11
(FIVE YEARS 0)

Author(s):  
Gleb Balitskiy ◽  
Alexey Frolov ◽  
Pavel Rybin


2021 ◽  
Vol 7 (2) ◽  
pp. 2393-2412
Author(s):  
A. El-Mesady ◽  
◽  
Y. S. Hamed ◽  
M. S. Mohamed ◽  
H. Shabana ◽  
...  

<abstract> <p>Partial balanced incomplete block designs have a wide range of applications in many areas. Such designs provide advantages over fully balanced incomplete block designs as they allow for designs with a low number of blocks and different associations. This paper introduces a class of partially balanced incomplete designs. We call it partially balanced network designs (PBNDs). The fundamentals and properties of PBNDs are studied. We are concerned with modeling PBNDs as graph designs. Some direct constructions of small PBNDs and generalized PBNDs are introduced. Besides that, we show that our modeling yields an effective utilization of PNBDs in constructing graph codes. Here, we are interested in constructing graph codes from bipartite graphs. We have proved that these codes have good characteristics for error detection and correction. In the end, the paper introduces a novel technique for generating new codes from already constructed codes. This technique results in increasing the ability to correct errors.</p> </abstract>





Author(s):  
Huaqiao Zhou ◽  
Cong Wang ◽  
Weijun Zeng ◽  
Xiang Zheng ◽  
Shixiang Zou


2019 ◽  
Vol 65 (10) ◽  
pp. 6580-6619 ◽  
Author(s):  
Xiao Li ◽  
Dong Yin ◽  
Sameer Pawar ◽  
Ramtin Pedarsani ◽  
Kannan Ramchandran


Author(s):  
Esmaeil Karimi ◽  
Fatemeh Kazemi ◽  
Anoosheh Heidarzadeh ◽  
Krishna R. Narayanan ◽  
Alex Sprintson


2019 ◽  
Vol 67 (17) ◽  
pp. 4649-4664
Author(s):  
Kangwook Lee ◽  
Kabir Chandrasekher ◽  
Ramtin Pedarsani ◽  
Kannan Ramchandran


Author(s):  
Esmaeil Karimi ◽  
Fatemeh Kazemi ◽  
Anoosheh Heidarzadeh ◽  
Krishna R. Narayanan ◽  
Alex Sprintson


2019 ◽  
Vol 65 (3) ◽  
pp. 1430-1451 ◽  
Author(s):  
Dong Yin ◽  
Ramtin Pedarsani ◽  
Yudong Chen ◽  
Kannan Ramchandran




Sign in / Sign up

Export Citation Format

Share Document