Zobrazeno 1 - 10
of 3 347
pro vyhledávání: '"Borello, A."'
Rank-metric codes have been a central topic in coding theory due to their theoretical and practical significance, with applications in network coding, distributed storage, crisscross error correction, and post-quantum cryptography. Recent research ha
Externí odkaz:
http://arxiv.org/abs/2411.19087
We introduce the concept of a sum-rank saturating system and outline its correspondence to a covering properties of a sum-rank metric code. We consider the problem of determining the shortest sum-rank-$\rho$-saturating systems of a fixed dimension, w
Externí odkaz:
http://arxiv.org/abs/2410.12393
Intersecting codes are linear codes where every two nonzero codewords have non-trivially intersecting support. In this article we expand on the theory of this family of codes, by showing that nondegenerate intersecting codes correspond to sets of poi
Externí odkaz:
http://arxiv.org/abs/2406.04034
We establish dihedral quantum codes of short block length, a class of CSS codes obtained by the lifted product construction. We present the code construction and give a formula for the code dimension, depending on the two classical codes that the CSS
Externí odkaz:
http://arxiv.org/abs/2310.15092
Saturating sets are combinatorial objects in projective spaces over finite fields that have been intensively investigated in the last three decades. They are related to the so-called covering problem of codes in the Hamming metric. In this paper, we
Externí odkaz:
http://arxiv.org/abs/2306.17081
Autor:
Kelly, Patrick L., Rodney, Steven, Treu, Tommaso, Birrer, Simon, Bonvin, Vivien, Dessart, Luc, Foley, Ryan J., Filippenko, Alexei V., Gilman, Daniel, Jha, Saurabh, Hjorth, Jens, Mandel, Kaisey, Millon, Martin, Pierel, Justin, Thorp, Stephen, Zitrin, Adi, Broadhurst, Tom, Chen, Wenlei, Diego, Jose M., Dressler, Alan, Graur, Or, Jauzac, Mathilde, Malkan, Matthew A., McCully, Curtis, Oguri, Masamune, Postman, Marc, Schmidt, Kasper Borello, Sharon, Keren, Tucker, Brad E., von der Linden, Anja, Wambsganss, Joachim
In late 2014, four images of Supernova (SN) "Refsdal," the first known example of a strongly lensed SN with multiple resolved images, were detected in the MACS J1149 galaxy-cluster field. Following the images' discovery, the SN was predicted to reapp
Externí odkaz:
http://arxiv.org/abs/2305.06377
Autor:
Kelly, Patrick L., Rodney, Steven, Treu, Tommaso, Oguri, Masamune, Chen, Wenlei, Zitrin, Adi, Birrer, Simon, Bonvin, Vivien, Dessart, Luc, Diego, Jose M., Filippenko, Alexei V., Foley, Ryan J., Gilman, Daniel, Hjorth, Jens, Jauzac, Mathilde, Mandel, Kaisey, Millon, Martin, Pierel, Justin, Sharon, Keren, Thorp, Stephen, Williams, Liliya, Broadhurst, Tom, Dressler, Alan, Graur, Or, Jha, Saurabh, McCully, Curtis, Postman, Marc, Schmidt, Kasper Borello, Tucker, Brad E., von der Linden, Anja
Publikováno v:
Science, Volume 380, Issue 6649, article id. abh1322, May 11, 2023
The gravitationally lensed Supernova Refsdal appeared in multiple images, produced through gravitational lensing by a massive foreground galaxy cluster. After the supernova appeared in 2014, lens models of the galaxy cluster predicted an additional i
Externí odkaz:
http://arxiv.org/abs/2305.06367
Autor:
Angelisa Frasca, Federica Miramondi, Erica Butti, Marzia Indrigo, Maria Balbontin Arenas, Francesca M Postogna, Arianna Piffer, Francesco Bedogni, Lara Pizzamiglio, Clara Cambria, Ugo Borello, Flavia Antonucci, Gianvito Martino, Nicoletta Landsberger
Publikováno v:
EMBO Molecular Medicine, Vol 16, Iss 12, Pp 3218-3246 (2024)
Abstract The beneficial effects of Neural Precursor Cell (NPC) transplantation in several neurological disorders are well established and they are generally mediated by the secretion of immunomodulatory and neurotrophic molecules. We therefore invest
Externí odkaz:
https://doaj.org/article/66272a3c83c5479d959cd514e17673a1
Autor:
Borello, Martino, Zullo, Ferdinando
The main purpose of this paper is to further study the structure, parameters and constructions of the recently introduced minimal codes in the sum-rank metric. These objects form a bridge between the classical minimal codes in the Hamming metric, the
Externí odkaz:
http://arxiv.org/abs/2303.07288
Strong blocking sets, introduced first in 2011 in connection with saturating sets, have recently gained a lot of attention due to their correspondence with minimal codes. In this paper, we dig into the geometry of the concatenation method, introducin
Externí odkaz:
http://arxiv.org/abs/2301.09590