Two constructions of (v, (v − 1)/2, (v − 3)/2) difference families

2008 ◽  
Vol 16 (2) ◽  
pp. 164-171 ◽  
Author(s):  
Cunsheng Ding
Keyword(s):  
Difference Families

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

New Constructions of Near-Complete External Difference Families Over Galois Rings

2020 ◽  
Vol 24 (5) ◽  
pp. 995-999
Author(s):  
Can Xiang ◽  
Zongxiang Yi ◽  
Fang-Wei Fu ◽  
Wenjuan Yin
Keyword(s):  
Galois Rings ◽  
Difference Families

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

scholarly journals Construction of High-Rate Regular Quasi-Cyclic LDPC Codes Based on Cyclic Difference Families

2013 ◽  
Vol 61 (8) ◽  
pp. 3108-3113 ◽  
Author(s):  
Hosung Park ◽  
Seokbeom Hong ◽  
Jong-Seon No ◽  
Dong-Joon Shin
Keyword(s):  
Ldpc Codes ◽  
High Rate ◽  
Difference Families
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