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pro vyhledávání: '"Lopez, P. H."'
The Generalized Hamming weights and their relative version, which generalize the minimum distance of a linear code, are relevant to numerous applications, including coding on the wire-tap channel of type II, $t$-resilient functions, bounding the card
Externí odkaz:
http://arxiv.org/abs/2411.13375
Autor:
Camps-Moreno, Eduardo, López, Hiram H., Matthews, Gretchen L., Ruano, Diego, San-José, Rodrigo, Soprunov, Ivan
In this paper, we study binary triorthogonal codes and their relation to CSS-T quantum codes. We characterize the binary triorthogonal codes that are minimal or maximal with respect to the CSS-T poset, and we also study how to derive new triorthogona
Externí odkaz:
http://arxiv.org/abs/2408.02916
CSS-T codes were recently introduced as quantum error-correcting codes that respect a transversal gate. A CSS-T code depends on a pair $(C_1, C_2)$ of binary linear codes $C_1$ and $C_2$ that satisfy certain conditions. We prove that $C_1$ and $C_2$
Externí odkaz:
http://arxiv.org/abs/2406.00425
A decreasing Cartesian code is defined by evaluating a monomial set closed under divisibility on a Cartesian set. Some well-known examples are the Reed-Solomon, Reed-Muller, and (some) toric codes. The affine permutations consist of the permutations
Externí odkaz:
http://arxiv.org/abs/2405.08112
Autor:
Lopez, Paco H. Talero
One of the most important active methodologies for physics learning developed in recent years is peer instruction. Its technique has allowed, among other things, to monitor students' conceptual learning. In this sense, \textcite{PhysRevSTPER.6.020105
Externí odkaz:
http://arxiv.org/abs/2405.07055
Autor:
Camps-Moreno, Eduardo, López, Hiram H., Matthews, Gretchen L., Ruano, Diego, San-José, Rodrigo, Soprunov, Ivan
Publikováno v:
Quantum Inf Process 23, 230 (2024)
CSS-T codes were recently introduced as quantum error-correcting codes that respect a transversal gate. A CSS-T code depends on a CSS-T pair, which is a pair of binary codes $(C_1, C_2)$ such that $C_1$ contains $C_2$, $C_2$ is even, and the shorteni
Externí odkaz:
http://arxiv.org/abs/2312.17518
Employing underlying geometric and algebraic structures allows for constructing bespoke codes for local recovery of erasures. We survey techniques for enriching classical codes with additional machinery, such as using lines or curves in projective sp
Externí odkaz:
http://arxiv.org/abs/2312.16314
Autor:
Anderson, Sarah E., Camps-Moreno, Eduardo, López, Hiram H., Matthews, Gretchen L., Ruano, Diego, Soprunov, Ivan
Given two $q$-ary codes $C_1$ and $C_2$, the relative hull of $C_1$ with respect to $C_2$ is the intersection $C_1\cap C_2^\perp$. We prove that when $q>2$, the relative hull dimension can be repeatedly reduced by one, down to a certain bound, by rep
Externí odkaz:
http://arxiv.org/abs/2212.14521
The decreasing norm-trace codes are evaluation codes defined by a set of monomials closed under divisibility and the rational points of the extended norm-trace curve. In particular, the decreasing norm-trace codes contain the one-point algebraic geom
Externí odkaz:
http://arxiv.org/abs/2209.12096
Autor:
Sarmiento, S., Etcheverry, S., Aldama, J., LÓpez, I. H., Vidarte, L. T., Xavier, G. B., Nolan, D. A., Stone, J. S., Li, M. J., Loeber, D., Pruneri, V.
The secure transfer of information is critical for the ever-increasing demands of the digital world. Continuous-variable quantum key distribution (CV-QKD) is a technology that can potentially provide information-theoretic security to cryptographic sy
Externí odkaz:
http://arxiv.org/abs/2201.03392