Dickson
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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.
[Written Question] School Meals: Standards
Question by: Jim Dickson Answering Body: Department for Education Question: To ask the Secretary of State for Education, what steps her Department has taken to ensure that children and young people are able to contribute their views to the consultation on updating the School Food Standards.
‘Safer to give my kids a chainsaw’: Parents are taking drastic measures to eliminate their children’s screen time
‘Safer to give my kids a chainsaw’: Parents are taking drastic measures to eliminate their children’s screen time A growing movement advocates for kids to grow up without screens and believes social media poses a grave threat to their well-being. Parents tell Rhian Lubin how they’ve moved out of state to get their kids into screen-free schools, are installing landlines — and have locked away the iPads - Bookmark - CommentsGo to comments While many of his peers are likely scrolling on TikTok...
Utility companies want to pay you to generate power for the electrical grid
HOUSTON — Jeff and Jenny Wright haven’t paid an electric bill for their Houston home in more than a year. Instead, the couple sells their unused power back to the grid in a system that some states hope can offer a way to help meet surging demand for electricity. Americans today pay 40% more, on average, for their electricity than they did just six years ago.
Big 12 preview: Despite the drama, Texas Tech stil...
Back when the NIL era was in its nascent stages, with a new Big 12 and a 12-team College Football Playoff on the way, I wondered if there was room for the emergence of a Clemson-style dynasty from a conference known primarily for the endless number of close games. If some team could craft a recruiting boost from both solid spending and sustained success, perhaps they could ride that to a series of conference titles and, perhaps, even playoff runs? I admittedly didn't have a specific team in...