Results 1 to 10 of about 358,727 (101)
When almost all sets are difference dominated [PDF]
Random Structures and Algorithms, 2009 AbstractWe investigate the relationship between the sizes of the sum and difference sets attached to a subset of {0,1,…,N}, chosen randomly according to a binomial model with parameter p(N), with N−1 = o(p(N)). We show that the random subset is almost surely difference dominated, as N → ∞, for any choice of p(N) tending to zero, thus confirming a ...
Steven Miller
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More Quasi-Complementary Sequence Sets from Difference Sets and Almost Difference Sets
2019 Ninth International Workshop on Signal Design and its Applications in Communications (IWSDA), 2019 A quasi-complementary sequence set (QCSS) is a set of two-dimensional matrices which has low correlation sums of rows for all non-trivial time shifts. In multi-carrier code-division multiple-access (MC-CDMA) communications, QCSSs can be utilized to achieve low interference performance.
Yubo Li, Chengqian Xu, Peng Xiuping
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Genetically-designed arbitrary length almost difference sets [PDF]
Electronics Letters, 2009 Almost difference sets (ADSs) have important applications in cryptography, coding theory, and antenna array thinning. A new approach is proposed to derive ADSs of arbitrary lengths. Such a technique recasts the ADS design as a combinatorial optimisation problem successively solved by means of a suitable binary genetic algorithm. New ADSs are derived to
Massimo Donelli +2 more
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Fully interleaved linear arrays with predictable sidelobes based on almost difference sets [PDF]
IET Radar, Sonar and Navigation, 2010 The present study proposes an analytical technique based on almost difference sets (ADSs) for the design of interleaved linear arrays with well-behaved and predictable radiation features. Thanks to the mathematical properties of ADSs, such a methodology allows the design of interlaced arrangements with peak sidelobe levels (PSLs) only dependent on the ...
Giacomo Oliveri, Andrea Massa
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Almost perfect sequences based on cyclic difference sets
Journal of Systems Engineering and Electronics, 2007 Summary: The perfect sequences are so ideal that all out-of-phase autocorrelation coefficients are zero, and if the sequences are used as the coding modulating signal for the phase-modulated radar, there will be no interference of side lobes theoretically.
Zhao Zhengyu
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Almost difference sets in nonabelian groups [PDF]
Designs, Codes and Cryptography, 2018 We give two new constructions of almost difference sets. The first is a generic construction of $(q^{2}(q+1),q(q^{2}-1),q(q^{2}-q-1),q^{2}-1)$ almost difference sets in certain groups of order $q^{2}(q+1)$ ($q$ is an odd prime power) having ($\mathbb{F}_{q},+)$ as a subgroup.
Jerod Michel, Qi Wang 0012
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On the Nonexistence of Almost Difference Sets Constructed from the Set of Octic Residues
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2016 Shengwu Xiong +2 more
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Almost Difference Sets From Singer Type Golomb Rulers [PDF]
IEEE Access, 2022 Sea $G$ un grupo aditivo de pedido $v$. Un subconjunto de $k $ -elemento $D$ de $G$ se llama un conjunto de $(v, k,\lambda, t)$ -casi diferencia si las expresiones $g-h$, para $g$ y $h$ en $D$, representan $t$ de los elementos no-identidad en $G$ exactamente $\lambda $ veces y cualquier otro elemento no-identidad $\lambda + 1 ...
David Fernando Daza Urbano +2 more
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Almost supplementary difference sets and quaternary sequences with optimal autocorrelation [PDF]
Cryptography and Communications, 2020 We introduce almost supplementary difference sets (ASDS). For odd m, certain ASDS in Zm that have amicable incidence matrices are equivalent to quaternary sequences of odd length m with optimal autocorrelation. As one consequence, if 2m − 1 is a prime power, or m 1 mod 4 is prime, then ASDS of this kind exist.
José Andrés Armario, Dane L. Flannery
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Partial direct product difference sets and almost quaternary sequences
Advances in Mathematics of Communications, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ozden, Busra, Yayla, Oguz
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