Existence of strong difference families and constructions for eight new 2‐designs

2021 ◽  
Author(s):  
Xiaomiao Wang ◽  
Tao Feng ◽  
Shixin Wang
Keyword(s):  
Difference Families ◽  
Strong Difference

scholarly journals Strong difference families of special types

2020 ◽  
Vol 343 (4) ◽  
pp. 111776 ◽  
Author(s):  
Yanxun Chang ◽  
Simone Costa ◽  
Tao Feng ◽  
Xiaomiao Wang
Keyword(s):  
Difference Families ◽  
Strong Difference

Strong difference families over arbitrary graphs

2008 ◽  
Vol 16 (6) ◽  
pp. 443-461 ◽  
Author(s):  
Marco Buratti ◽  
Lucia Gionfriddo
Keyword(s):  
Difference Families ◽  
Strong Difference ◽  
Arbitrary Graphs

scholarly journals New 2-designs from strong difference families

2018 ◽  
Vol 50 ◽  
pp. 391-405 ◽  
Author(s):  
Simone Costa ◽  
Tao Feng ◽  
Xiaomiao Wang
Keyword(s):  
Difference Families ◽  
Strong Difference

New Classes of Optimal Variable-Weight Optical Orthogonal Codes Based on Cyclic Difference Families

2010 ◽  
Vol E93-A (11) ◽  
pp. 2232-2238 ◽  
Author(s):  
Dianhua WU ◽  
Pingzhi FAN ◽  
Xun WANG ◽  
Minquan CHENG
Keyword(s):  
Optical Orthogonal Codes ◽  
Difference Families ◽  
Orthogonal Codes ◽  
Variable Weight

Partitioned difference families versus zero-difference balanced functions

2019 ◽  
Vol 87 (11) ◽  
pp. 2461-2467 ◽  
Author(s):  
Marco Buratti ◽  
Dieter Jungnickel
Keyword(s):  
Difference Families

scholarly journals Partitioned difference families: The storm has not yet passed

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Marco Buratti ◽  
Dieter Jungnickel
Keyword(s):  
Scientific Community ◽  
Difference Families

<p style='text-indent:20px;'>Two years ago, we alarmed the scientific community about the large number of bad papers in the literature on <i>zero difference balanced functions</i>, where direct proofs of seemingly new results are presented in an unnecessarily lengthy and convoluted way. Indeed, these results had been proved long before and very easily in terms of difference families.</p><p style='text-indent:20px;'>In spite of our report, papers of the same kind continue to proliferate. Regrettably, a further attempt to put the topic in order seems unavoidable. While some authors now follow our recommendation of using the terminology of <i>partitioned difference families</i>, their methods are still the same and their results are often trivial or even wrong. In this note, we show how a very recent paper of this type can be easily dealt with.</p>

scholarly journals Construction and nonexistence of strong external difference families

2018 ◽  
Vol 49 (1) ◽  
pp. 21-48 ◽  
Author(s):  
Jonathan Jedwab ◽  
Shuxing Li
Keyword(s):  
Difference Families

Analysis of Dynamics of Infected Active and Uninfected Active Populations Leading to Pandemics using a Discrete Model of Two Interacting Pacemakers Taking into Account the Time of Refractoriness

2020 ◽  
pp. 1-4
Author(s):  
Sergey Belyakin ◽  
◽  
Sergey Shuteev ◽  
Keyword(s):  
General Model ◽  
Discrete Model ◽  
Strong Difference ◽  
Proposed Model ◽  
Minimum Number ◽  
Analysis Of Dynamics

In this publication, we generalize the proposed model of two interacting oscillators in the case of a strong difference in their periods (when the pacemaker pulses do not alternate) and propose a General model describing a network of oscillators coupled globally. Our goal is to make the model as simple as possible and enter the minimum number of parameters. Therefore, we will fully characterize the pacemaker of their internal lengths of the cycle and re-present them as pulse oscillators. Interaction of pacemakers is described by PRC

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