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Related Articles from SNS
Shortest LCD embeddings of binary, ternary and quaternary linear codes
arXiv:2601.20600v2 Announce Type: replace Abstract: In the recent years, there has been active research on self-orthogonal embeddings of linear codes since they yielded some optimal self-orthogonal codes. LCD codes have a trivial hull so they are counterparts of self-orthogonal codes. So it is a natural question whether one can embed linear codes into optimal LCD codes.
Printed manga may give the brain a storytelling advantage
Printed manga may give the brain a storytelling advantage Robert Egan Associate Editor A new study by researchers at the University of Tokyo explores whether reading manga on paper or on a tablet changes how the brain understands and remembers stories. Participants first read the opening half of a two-part manga story either on paper or on a tablet. Later, while inside an MRI scanner, they read the second half through LCD goggles and answered questions about the story.
Explicit Factorization of $x^{p+1}-1$ over $\mathbb{Z}_{p^e}$: A Structural Approach via Dickson Polynomials
arXiv:2604.19038v2 Announce Type: replace Abstract: Let $p$ be an odd prime. The factorization of the polynomial $x^{p+1}-1$ over the integer residue ring $\mathbb{Z}_{p^e}$ is pivotal for constructing cyclic codes with Hermitian symmetry, a critical resource for Linear Complementary Dual (LCD) codes and Entanglement-Assisted Quantum Error-Correcting Codes (EAQECC). Traditionally, lifting factorizations relies on the generic Hensel's Lemma, masking the underlying algebraic structure.
Mitigating Bias in Locally Constrained Decoding via Tractable Proposals
arXiv:2606.01926v1 Announce Type: new Abstract: Generations from large language models often fail to conform to desired constraints such as JSON schema. Existing locally constrained decoding (LCD) approaches enforce constraints by myopically masking out next tokens, resulting in biased sampling and degradation in performance. Recent work uses sequential Monte Carlo (SMC) methods to mitigate such biases, but designing effective proposal distributions or potential functions remains a key...
QEC and EAQEC Codes from Hermitian Sums and Hulls of Cyclic Codes over $\mathbb{F}_2 \times (\mathbb{F}_2+v\mathbb{F}_2)$
new Abstract: In this work, we determine the generator polynomials for the Hermitian hulls and Hermitian sums of cyclic codes defined over the composite ring $\mathbb{F}_2 \times (\mathbb{F}_2 + v\mathbb{F}_2)$, where $v^2 = v$. Based on these structures, we develop quantum error-correcting (QEC) codes by applying the Hermitian dual version of Quantum Construction~X to the obtained Hermitian hulls and sums. Moreover, by employing matrix product code methods on linear complementary dual (LCD)...
Revisiting urban heat indices in Switzerland using low-cost measurement networks
Announce Type: new Abstract: Urban populations are increasingly exposed to extreme heat events such as heatwaves, which can be exacerbated in cities due to the urban heat island (UHI) effect. With the aim of developing adaptation strategies, recent years have seen a growing interest in deploying high-resolution measurement networks using low-cost devices (LCDs), which enable the evaluation of intra-urban temperature distribution and its impacts at an unprecedented spatial resolution....
A Matter Wi-Fi Light Bulb in Rust on the Raspberry Pi Pico 2 W
This repository contains examples for the Raspberry Pi Pico 2 (RP2350) board, written in Rust using the Embassy async framework. cargo generate --git https://github.com/ImplFerris/pico2-template.git --name rust-rpico2-embassy-examples Board: Raspberry Pi Pico 2 - MCU: RP2350 (Dual-core Arm Cortex-M33 and RISC-V cores) - On-board peripherals: - LED on GPIO25 - I2C pins: - I2C0 SDA: GPIO4 - I2C0 SCL: GPIO5 - I2C1 SDA: GPIO2 - I2C1 SCL: GPIO3 - UART pins: - UART0 TX: GPIO0, UART0 RX: GPIO1 -...
Full Reverse Engineering of the TI-84 Plus Operating System
TI-84 Plus OS — Reverse-engineering notes: system overview Target: ti84plus.rom (1 MiB flash dump). OS self-identifies as 2.55MP. CPU: Zilog Z80 (16-bit address bus, 64 KiB logical space) with hardware flash/RAM paging.
The best Kindle alternatives for those looking to ditch Amazon
The best Kindle alternatives for those looking to ditch Amazon No matter what your reason for wanting to get away from the tech giant is, there are many options available. Amazon is arguably king of the castle when it comes to ereaders. Its range of devices are beloved by millions, the Kindle Store is the most well-stocked ebook marketplace in the world, and subscription offerings like Kindle Unlimited keep the most hardcore bookworms busy all year.