Tootfinder

This https://arxiv.org/abs/2310.02715 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Further results on covering codes with radius R and codimension tR + 1
The length function $\ell_q(r,R)$ is the smallest possible length $n$ of a $ q $-ary linear $[n,n-r]_qR$ code with codimension (redundancy) $r$ and covering radius $R$. Let $s_q(N,ρ)$ be the smallest size of a $ρ$-saturating set in the projective space $\mathrm{PG}(N,q)$. There is a one-to-one correspondence between $[n,n-r]_qR$ codes and $(R-1)$-saturating $n$-sets in $\mathrm{PG}(r-1,q)$ that implies $\ell_q(r,R)=s_q(r-1,R-1)$. In this work, for $R\ge3$, new asymptotic upper bounds on $\ell…

A poll indicates that 50% of Americans favor a ban on TikTok. https://reddit.com/r/cybersecurity/comments/1cjfg18/

This https://arxiv.org/abs/2310.02715 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Further results on covering codes with radius R and codimension tR + 1
The length function $\ell_q(r,R)$ is the smallest possible length $n$ of a $ q $-ary linear $[n,n-r]_qR$ code with codimension (redundancy) $r$ and covering radius $R$. Let $s_q(N,ρ)$ be the smallest size of a $ρ$-saturating set in the projective space $\mathrm{PG}(N,q)$. There is a one-to-one correspondence between $[n,n-r]_qR$ codes and $(R-1)$-saturating $n$-sets in $\mathrm{PG}(r-1,q)$ that implies $\ell_q(r,R)=s_q(r-1,R-1)$. In this work, for $R\ge3$, new asymptotic upper bounds on $\ell…

An NSA security designer has been imprisoned for leaking classified documents. https://reddit.com/r/cybersecurity/comments/1civi0d/

Poll reveals that 50% of Americans are in favor of banning the social media app TikTok. https://reddit.com/r/cybersecurity/comments/1cjfg3d/

Ivanti CEO promises to overhaul cybersecurity following a zero-day attack blitz. https://reddit.com/r/cybersecurity/comments/1bvx2ds/

Discussion about why AI will not replace cybersecurity jobs by 2024. https://reddit.com/r/cybersecurity/comments/1bu9vwx/

The U.S. House has prohibited its staffers from using Microsoft's Copilot software. https://reddit.com/r/cybersecurity/comments/1buyqpo/

Missouri county has declared a state of emergency due to a suspected ransomware attack. https://reddit.com/r/cybersecurity/comments/1buo71x/

Over 5000 Indians in Cambodia are compelled into cybercrime following fraudulent job offers. https://reddit.com/r/cybersecurity/comments/1buq676/