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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)...

arXiv CS 8d ago

World Cup Group F guide

World Cup 2026 Group F guide - fixtures, schedule, standings and odds for Netherlands, Japan, Sweden and Tunisia World Cup Group F includes Netherlands, Japan, Sweden and Tunisia; matches to take place in Arlington, Houston and Kansas City in the US, plus Guadalupe in Mexico; three-time runners-up Netherlands looking for first World Cup win; Graham Potter leads Sweden into tournament Tuesday 2 June 2026 13:21, UK World Cup Group F sees three-times runners-up Netherlands begin their campaign...

Sky Sports Football 8d ago

F4 reunion project F Forever to perform in Singapore this August

F4 reunion project F Forever to perform in Singapore this August F Forever, the reunion project comprising members of the iconic Taiwanese boy group F4 and Mayday member Ashin, will perform at the Singapore Indoor Stadium in August this year. Months after teasing that they would perform in Singapore, music unit F Forever confirmed on Saturday (May 30) that they will stage a two-night show in the country this August.

Channel News Asia 8d ago

Are these the first shots of the US Air Force's sixth-generation F-47 fighter?

Are these the first shots of the US Air Force's sixth-generation F-47 fighter? A thermal image allegedly showing a new aircraft over Area 51 has sparked speculation about the US Air Force’s sixth‑generation stealth fighter, the Boeing F‑47. The outline of the aircraft resembles that of the F‑47 demonstrator, two renditions of which were released in the White House last year.

Times of India 4d ago

Anti-ICE agitator screams ‘I’ll kill your whole f- family’ day after Dem gov praises ‘peaceful protesting’

Title: Anti-ICE agitator screams ‘I’ll kill your whole f- family’ day after Dem gov praises ‘peaceful protesting’ A day after Democratic Gov. Mikie Sherrill praised "lots of peaceful protesting" happening outside a New Jersey ICE facility this week, the Department of Justice announced it is searching for an agitator who threatened to kill a federal agent and his wife and children.Sherrill responded to the threats by calling on "everyone — especially members of federal, state, and local government" to "lower the temperature."The anti-ICE agitator was caught on camera on Wednesday night shouting to federal law enforcement, "I’ll kill your whole f------ family, your whole f------ is dead. Your children, your wife, all dead." The agitator added, "I have your face, motherf-----, you’re dead, dead."Speaking with Fox News, U.S. Attorney General Todd Blanche said, "That’s a federal crime, and not only threatening the ICE officer but think about how disgusting this individual is, threatening his family and his children with death.""What is this man doing? He’s just doing his job, standing there," he continued. "We see his face, and I

Fox News 11d ago

Approximating $f$-Divergences with Rank Statistics

arXiv:2601.22784v2 Announce Type: replace-cross Abstract: We introduce a rank-statistic approximation of $f$-divergences that avoids explicit density-ratio estimation by working directly with the distribution of ranks. For a resolution parameter $K$, we map the mismatch between two univariate distributions $\mu$ and $\nu$ to a rank histogram on $\{ 0, \ldots, K\}$ and measure its deviation from uniformity via a discrete $f$-divergence, yielding a rank-statistic divergence estimator. We prove...

arXiv CS 8d ago

Donald Trump brands Benjamin Netanyahu 'f****** crazy' during explosive phone call

Donald Trump brands Benjamin Netanyahu 'f****** crazy' during explosive phone call During the conversation with Benjamin Netanyahu, which the US President called "very productive", Donald Trump demanded planned strikes on Beirut be halted immediately Donald Trump called Benjamin Netanyahu "f****** crazy" during an explosive phone call in which he demanded planned strikes on Beirut be halted immediately. The furious exchange came as the US president warned the Israeli Prime Minister that...

Daily Mirror 8d ago

Multimodal sampling via Schr\"odinger-F\"ollmer samplers with temperatures

arXiv:2512.23965v2 Announce Type: replace Abstract: Generating samples from complex and high-dimensional distributions is ubiquitous in various scientific fields of statistical physics, Bayesian inference, scientific computing and machine learning. Very recently, Huang et al. Theory, 2025) proposed new Schr\"odinger-F\"ollmer samplers (SFS), based on the Euler discretization of the Schr\"odinger-F\"ollmer diffusion evolving on the unit interval $[0, 1]$. There, a convergence rate of order...

arXiv CS 6d ago

Midwives used 'f**k off home' code for heavily pregnant women at NHS trust

Midwives used 'f**k off home' code for heavily pregnant women at NHS trust Women were allegedly encouraged to remain at home despite concerns they were in labour, with one woman later arriving at Nottingham University Hospitals NHS Trust to find out her baby had died Pregnant women were allegedly labelled with an offensive acronym telling them to “f**k off home” as fresh allegations have emerged about the NHS trust at the centre of the largest maternity inquiry in history. The three letters:...

Daily Mirror 9d ago

The former Air Force engineers who started Wok Hey have 'no regrets' about going into F&B

The former Air Force engineers who started Wok Hey have 'no regrets' about going into F&B They are also behind Wok Hey’s sister brand, Niku Iku, which just opened its first dine-in outlets serving yakiniku bowls with beef and unagi.

Channel News Asia 2d ago