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pro vyhledávání: '"and A. Zullo"'
There are many similarities between the theories of matroids and $q$-matroids. However, when dealing with the direct sum of $q$-matroids many differences arise. Most notably, it has recently been shown that the direct sum of representable $q$-matroid
Externí odkaz:
http://arxiv.org/abs/2408.00630
In the present paper we reconsider the integrable case of the Hamiltonian $N$-species Volterra system, as it has been introduced by Vito Volterra in 1937, and significantly enrich the results already published in the ArXiv in 2019. In fact, we presen
Externí odkaz:
http://arxiv.org/abs/2407.09155
Autor:
Mushrraf, Usman, Zullo, Ferdinando
Let $\mathrm{Sym}_q(m)$ be the space of symmetric matrices in $\mathbb{F}_q^{m\times m}$. A subspace of $\mathrm{Sym}_q(m)$ equipped with the rank distance is called a symmetric rank-metric code. In this paper we study the covering properties of symm
Externí odkaz:
http://arxiv.org/abs/2406.12450
For a linear Hamming metric code of length n over a finite field, the number of distinct weights of its codewords is at most n. The codes achieving the equality in the above bound were called full weight spectrum codes. In this paper we will focus on
Externí odkaz:
http://arxiv.org/abs/2405.19911
We present a new application of multi-orbit cyclic subspace codes to construct large optical orthogonal codes, with the aid of the multiplicative structure of finite fields extensions. This approach is different from earlier approaches using combinat
Externí odkaz:
http://arxiv.org/abs/2405.18996
Autor:
Singhal, Vidush, Koparkar, Chaitanya, Zullo, Joseph, Pelenitsyn, Artem, Vollmer, Michael, Rainey, Mike, Newton, Ryan, Kulkarni, Milind
Publikováno v:
European Conference on Object Oriented Programming 2024
While programmers know that the low-level memory representation of data structures can have significant effects on performance, compiler support to optimize the layout of those structures is an under-explored field. Prior work has optimized the layou
Externí odkaz:
http://arxiv.org/abs/2405.17590
Subspace codes have recently been used for error correction in random network coding. In this work, we focus on one-orbit cyclic subspace codes. If $S$ is an $\mathbb{F}_q$-subspace of $\mathbb{F}_{q^n}$, then the one-orbit cyclic subspace code defin
Externí odkaz:
http://arxiv.org/abs/2405.01652
Starting from a classical thermodynamic approach, we derive rate-type equations to describe the behavior of heat flow in deformable media. Constitutive equations are defined in the material (Lagrangian) description where the standard time derivative
Externí odkaz:
http://arxiv.org/abs/2402.00470
In this paper we will study the action of $\mathbb{F}_{q^n}^{2 \times 2}$ on the graph of an $\mathbb{F}_q$-linear function of $\mathbb{F}_{q^n}$ into itself. In particular we will see that, under certain combinatorial assumptions, its stabilizer (to
Externí odkaz:
http://arxiv.org/abs/2401.06085