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A Survey of Lattice-Based Physical-Layer Security for Wireless Systems with p-Modular Lattice Constructions [PDF]
EntropyPhysical-layer security (PLS) provides an information-theoretic framework for securing wireless communications by exploiting channel and signal-structure asymmetries, thereby avoiding reliance on computational hardness assumptions.
Hassan Khodaiemehr +5 more
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On the Secrecy Gain of $\ell$-Modular Lattices [PDF]
SIAM Journal on Discrete Mathematics, 2018 We show that for every $\ell>1$, there is a counterexample to the $\ell$-modular secrecy function conjecture by Oggier, Solé and Belfiore. These counterexamples all satisfy the modified conjecture by Ernvall-Hytönen and Sethuraman. Furthermore, we provide a method to prove or disprove the modified conjecture for any given $\ell$-modular lattice ...
Anne-Maria Ernvall-Hytönen
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Chain-based lattice printing for efficient robotically-assembled structures [PDF]
Communications EngineeringDue to the nature of their implementation, nearly all low-level fabrication processes produce solidly filled structures. However, lattice structures are significantly stronger for the same amount of material, resulting in structures that are much lighter
Zhe Xu, Aaron M. Dollar
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Modular stayed 3D-lattice structures manufactured by MEX-AM: buckling behaviour and energy absorption [PDF]
Scientific ReportsSlender lattice structures offer significant advantages in mechanical applications due to their high stiffness and energy absorption capabilities; however, they are inherently prone to buckling.
Yating Ou +5 more
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On Goldie absolute direct summands in modular lattices [PDF]
Mathematica Bohemica, 2023 Absolute direct summand in lattices is defined and some of its properties in modular lattices are studied. It is shown that in a certain class of modular lattices, the direct sum of two elements has absolute direct summand if and only if the elements are
Rupal Shroff
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On quasi-identities of finite modular lattices. II [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 The existence of a finite identity basis for any finite lattice was established by R. McKenzie in 1970, but the analogous statement for quasi-identities is incorrect.
A.O. Basheyeva, S.M. Lutsak
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Some non-standard quasivarieties of lattices [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 The questions of the standardness of quasivarieties have been investigated by many authors. The problem "Which finite lattices generate a standard topological prevariety?" was suggested by D.M. Clark, B.A. Davey, M.G. Jackson and J.G.
S.M. Lutsak +3 more
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SOME PROPERTIES ON DERIVATIONS OF LATTICES [PDF]
Journal of Algebraic Systems, 2021 In this paper we consider some properties of derivations of lattices and show that (i) for a derivation $d$ of a lattice $L$ with the maximum element $1$, it is monotone if and only if $d(x) \le d(1)$ for all $x\in L$ (ii) a monotone derivation $d$ is ...
Mayuka Kawaguchi, Michiro KONDO
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Pasting and modular lattices [PDF]
Proceedings of the American Mathematical Society, 1989 A classical lattice construction of R. P. Dilworth is the gluing of two lattices. A number of recent papers by A. Slavík, A. Day, and J. Ježek investigated a generalization: pasting .
Fried, E., Grätzer, G.
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On quasi-identities of finite modular lattices
Вестник КазНУ. Серия математика, механика, информатика, 2022 In 1970 R. McKenzie proved that any finite lattice has a finite basis of identities. However the similar result for quasi-identities is not true. That is there is a finite lattice that has no finite basis of quasi-identities.
S. Lutsak, O. Voronina, G. Nurakhmetova
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