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Almost difference sets and reversible divisible difference sets [PDF]

Archiv der Mathematik, 1992
Almost difference sets are divisible difference sets with the property that \(\lambda_ 1\) and \(\lambda_ 2\) differ by 1 (they would be difference sets if \(\lambda_ 1=\lambda_ 2\)). Two constructions are given. The first set of parameters are \((4,3^{2a},2(3^{2a}-3^ a),3^{2a}- 2\cdot 3^ a,3^{2a}-2\cdot 3^ a+ 1)\), and these are similar to \((4\cdot 3^
Davis, James A
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Partitioned difference families and almost difference sets

Journal of Statistical Planning and Inference, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jinhua Wang
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Constructions of almost difference sets from finite fields

Designs, Codes, and Cryptography, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qi Wang, Alexander Pott
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Codebooks from almost difference sets

Designs, Codes and Cryptography, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cunsheng Ding, Tao Feng 0001
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A new family of almost difference sets and some necessary conditions

IEEE Transactions on Information Theory, 2006
Almost difference sets have important applications in cryptography and coding theory. In this paper, new families of almost difference sets are constructed. Some necessary conditions for the existence of (v,k,/spl lambda/,t)-almost difference sets in Z/sub v/ are derived.
Yuan Zhang, Jianguo Lei, Shao Pu Zhang
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Almost Difference Sets in Transformational Music Theory

, 2017
The combinatorial theory of difference sets has prior applications in the field of mathematical music theory. The theory of almost difference sets, however, has not received similar attention from music scholars. Nevertheless, these types of structures also have significant musical applications.
Robert W. Peck, Peck, Robert W.
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A note on cyclic almost difference families [PDF]

Discrete Mathematics, 2011
Almost difference families (ADFs) were introduced by Ding and Yin as an useful generalization of almost difference sets (ADSs), and a number of infinite classes of almost difference families had been constructed.
Jinhua Wang
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Constructions of almost difference families [PDF]

Discrete Mathematics, 2008
Almost difference families (ADFs) are a useful generalization of almost difference sets (ADSs). In this paper, we present some constructive techniques to obtain ADFs and establish a number of infinite classes of ADFs.
Jianxing Yin
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A note on almost difference sets in nonabelian groups

Designs, Codes and Cryptography, 2017
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Almost and asymptotically almost periodic solutions of abstract retarded functional difference equations in phase space [PDF]

Journal of Difference Equations and Applications, 2011
We establish the existence of bounded, almost periodic solutions and asymptotically almost periodic solutions for functional difference equations with infinite delay on abstract phase space.
Claudio Vidal
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