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The Arithmetic Singleton Bound on the Hamming Distances of Simple-rooted Constacyclic Codes over Finite Fields
Announce Type: replace Abstract: In this work, We introduce a new upper bound on the Hamming distance of simple-root constacyclic codes over finite fields, which we call the arithmetic Singleton bound. The main technical tool is the notion of a multiple equal-difference (MED) representation. Via the MED representations of the defining set of the generator polynomial of a simple-root constacyclic code, we obtain a family of upper bounds on its Hamming distance, among which the weakest one...
Goal Sets, Not Goal States: Queryable Robot Goals through Goal-Set Hindsight Relabeling
arXiv:2606.09476v1 Announce Type: new Abstract: Hindsight relabeling usually turns achieved future states into exact goals, which can overconstrain offline robot learning when task success depends only on a subset of the state. We propose Goal-Set Hindsight Relabeling (GS-HER), a predicate-level generalization of HER in which achieved states certify query-defined goal sets rather than singleton goal states. A binary query specifies which variables define success, making the goal predicate an...
'Tinder date whisked me off to Italy hours after we met - it was like a fairytale'
EXCLUSIVE: 'Tinder date whisked me off to Italy hours after we met - it was like a fairytale' Lisa Shepherd had her mind blown when she hooked up online with an American visiting the UK and at his suggestion the couple's romance took off - quite literally A singleton was whisked off on a 'fairytale' getaway to Italy by her Tinder match - just hours after their first date. Lisa Shepherd had been using dating apps for a few months in the hope of finding her 'dream' fella when she matched with...
The Unreasonable Redundancy of Nature's Protein Folds
The Unreasonable Redundancy of Nature's Protein Folds Over the last few years, deep neural networks have made generative language modeling dramatically more powerful, giving us large language models. A similar leap happened for continuous modalities like images and videos.
Ranking college football's top 100 newcomers for t...
If the upcoming 2026 college football season is anything like its predecessor, transfer quarterbacks and top freshmen will be crucial for many College Football Playoff runs. And by now, with less than 100 days until the start of the season, we can assess rosters and what players did during spring practice with their new teams. While we have analyzed the top newcomer for each Power 4 team, these rankings are regardless of teams.
Future Power Rankings: How all 68 Power 4 college football teams stack up
Projecting a college football program's future is harder than ever. Rosters and fortunes change dramatically and championship pathways are more open than ever. The assets that make a program great in 2026 might not be there in 2027.
Men's Way-Too-Early Top 25: Kansas, UNC in after d...
Between the first and second editions of the Way-Too-Early Top 25 -- the night of the national championship game and April 27 -- there was massive player movement. More than 2,700 players entered the transfer portal, more than 90 of the top 100 transfers committed quickly and another 60 players entered the NBA draft. But in the month since, things have quieted -- though they're not fully settled just yet.
US says BYD, Baidu, Alibaba and other tech giants are aiding China's military
US says BYD, Baidu, Alibaba and other tech giants are aiding China's military WASHINGTON: The US on Monday (Jun 8) added Chinese e-commerce giant Alibaba, internet search provider Baidu and automaker BYD to a list of companies it believes are aiding Beijing's military, in a move that could inflame tensions between the countries. The long-awaited update supersedes a list from early 2025, and comes less than a month after President Donald Trump met China's Xi Jinping on a visit to Beijing,...
US adds popular Chinese firms to Pentagon's 'Chinese military company' list: Who's on it?
The Pentagon on Monday reinstated and expanded a list of Chinese companies it accuses of supporting China's military, naming major firms including Alibaba Group Holding, Baidu Inc., Tencent Holdings and electric vehicle maker BYD Co. The move is likely to add further strain to already tense US-China relations. The US Department of Defense said the companies had been added to its so-called 1260H list, which identifies entities determined by Washington to be aiding China's People's Liberation...
China's Xi vows unwavering support for North Korea's Kim in rare Pyongyang visit
China's Xi vows unwavering support for North Korea's Kim in rare Pyongyang visit SEOUL: China will not swerve from its commitment to safeguarding common interests with North Korea or waver in its support for Kim Jong Un, President Xi Jinping told Pyongyang's leader on Monday (Jun 8) during a rare summit. The neighbours should strengthen strategic ties and firmly protect their sovereignty, security, and development interests, Xi told Kim, an official Chinese summary of the meeting showed, as...