πΊπ¦ #NowPlaying on KEXP's #AfternoonShow
M|A|R|R|S:
π΅ Pump Up the Volume (12β³ US version)
#M|A|R|R|S
https://labedit.bandcamp.com/track/m-a-r-r-s-pump-up-the-volume-labedit-lv
SpaceX lifted off on its first day as a public company,
immediately jumping to $150 a share after it began trading on the Nasdaq
-- around 11% higher than the $135 figure at which it officially priced its IPO on Thursday.
The stock price reached as high as $176 in midday trading,
pushing the companyβs market capitalization to nearly $2.3 trillion,
-- making SpaceX the sixth most valuable public company in the U.S.
The stock pop isnβt a surprise.
Theβ¦
πΊπ¦ #NowPlaying on BBCRadio3's #RoundMidnight
Levitation Orchestra:
π΅ Within Us, Without Us
#LevitationOrchestra
https://open.spotify.com/track/3NDL9R9vEgKtBXl5XmN8gq
πΊπ¦ #NowPlaying on #BBC6Music's #NickGrimshaw
Mr. Fingers:
π΅ Can You Feel It
#MrFingers
https://labedit.bandcamp.com/track/mr-fingers-can-you-feel-it-original-labedit
https://open.spotify.com/track/4mNwbj8hTUjbyZSHdQVIuL
Graphical Analysis of Lifted Product Code Constructions
Ragnar Freij-Hollanti, Kirsten D. Morris, Patricija \v{S}apokait\.e
https://arxiv.org/abs/2606.11987 https://arxiv.org/pdf/2606.11987 https://arxiv.org/html/2606.11987
arXiv:2606.11987v1 Announce Type: new
Abstract: Lifted product codes are an important family of quantum low-density parity-check (QLDPC) codes, as they were the first QLDPC code family shown to be asymptotically good. Understanding the structure of their parity-check matrices $H_{\mathsf{X}}$ and $H_{\mathsf{Z}}$, as well as the associated Tanner graphs, is essential for analyzing their decoding behavior and error-floor performance. In this work, we show that the Tanner graphs of $H_{\mathsf{X}}$ and $H_{\mathsf{Z}}$ are indeed isomorphic, and investigate their graph-theoretical structure. We establish conditions ensuring the connectivity of these graphs and provide bounds on their minimal absorbing sets, providing new insight into the combinatorial structures influencing decoding performance.
toXiv_bot_toot
Lifted Gabidulin Construction for LDPC Representations of Finite Geometry Codes
Yifei Shen, Andreas Burg
https://arxiv.org/abs/2606.11454 https://arxiv.org/pdf/2606.11454 https://arxiv.org/html/2606.11454
arXiv:2606.11454v1 Announce Type: new
Abstract: Finite geometry (FG) codes combine the algebraic properties of classical block codes with the iterative belief propagation (BP) decoding ability of low-density parity-check~(LDPC) codes. However, exploiting both advantages in practice is hindered by the fact that the standard incidence matrix between $(\mu 1)$-flats and points is dense and contains many short cycles for any flat dimension $\mu\geq 1$. In this work, we propose to sparsify the decoding matrix based on pencil selection, formulated as a constant-dimension subspace packing problem and solved explicitly using lifted Gabidulin codes. For both affine and projective geometries, sparse parity-check matrices are constructed and verified for FG codes of lengths up to $1024$. Simulations on four FG codes show no visible error floor and around $0.5$~dB gain over corresponding 5G LDPC codes at a block error rate of $10^{-7}$.
toXiv_bot_toot
πΊπ¦ #NowPlaying on #BBC6Music's #TheBethDittoShow
M/A/R/R/S:
π΅ Pump Up The Volume
#M #A #R #S
https://labedit.bandcamp.com/track/m-a-r-r-s-pump-up-the-volume-labedit-lv
πΊπ¦ #NowPlaying on KEXP's #AstralPlane
Levitation Room:
π΅ Cosmic Flower
#LevitationRoom
https://turnmeondeadman.bandcamp.com/track/levitation-room-cosmic-flower
https://open.spotify.com/track/5kDtA5zdPGqopLEn3S7riW
πΊπ¦ #NowPlaying on #BBC6Music's #Afrodeutsche
Byron Stingily:
π΅ Get Up (Everybody) (Parade Mix)
#ByronStingily
https://labedit.bandcamp.com/track/byron-stingily-get-up-labreedit
πΊπ¦ #NowPlaying on KEXP's #Early
Jamiroquai:
π΅ Space Cowboy
#Jamiroquai
https://labedit.bandcamp.com/track/jamiroquai-space-cowboy-labedit
https://open.spotify.com/track/6K53GM9W6Vle5KBwGFVnZM