Tootfinder

20 years of running "alpha quality" browser as my main web browser
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20+ years of running "alpha quality" browser as my main web browser

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Francis of Delirium:
🎵 Little Black Dress
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https://francisofdelirium.bandcamp.com/track/little-black-dress
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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 $10^{-7}$.
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Ludovico Einaudi, Ludovico Einaudi & Gautier Capuçon:
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Lifted Gabidulin Construction for LDPC Representations of Finite Geometry Codes
Yifei Shen, Andreas Burg
https://arxiv.org/abs/2606.11454 https://arxiv.org…

" Soit un total de 234 €. Quand on n'a pas l'habitude de payer ses vaccins, ça pique."
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Dave Adewumi:
🎵 The Flame Beneath The Silence
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https://open.spotify.com/track/1sN1XDk0ltB0AuuSF23nF8

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Weird War:
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https://open.spotify.com/track/4GwZktBltYpA7QQGwhMN5M

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Fleetwood Mac:
🎵 The Chain
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https://tyrmusic.bandcamp.com/track/fleetwood-mac-the-chain-tyr-remix
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