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🇺🇦 #NowPlaying on KEXP's #DriveTime
Les Big Byrd:
🎵 Hökvind
#LesBigByrd
https://lesbigbyrd.bandcamp.com/track/h-kvind
https://open.spotify.com/track/6EjYa0k1UBaSx6lMg6kZBB

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions
Huachao Zhang, Chang-An Zhao
https://arxiv.org/abs/2606.11764 https://arxiv.org/pdf/2606.11764 https://arxiv.org/html/2606.11764
arXiv:2606.11764v1 Announce Type: new
Abstract: Recently, constructions of linear complementary pairs (LCPs) of codes and linear complementary dual (LCD) codes on function fields have attracted considerable attention due to the wide range of applications of these codes. Such constructions rely on non-special divisors of degrees $g$ and $g-1$. In this work, we investigate Kummer extensions defined by $y^m = f(x)$ with $f(x)\in\mathbb{F}_q(x)$ and establish an arithmetic characterization of non-special divisors whose support can contain non-totally ramified places. Based on this characterization, we explicitly construct non-special divisors of degree $g-1$ on the GK curve. Moreover, utilizing pure gaps, we explicitly provide several families of effective non-special divisors of degree $g$ on Kummer extensions with the same multiplicities. We then develop a general framework for constructing LCPs of algebraic geometry (AG) codes on Kummer extensions. By virtue of canonical divisors, we show that the security parameters of LCPs of AG codes can be determined within this framework, which also enables the construction of LCD AG codes. Finally, we illustrate our results with representative examples, including LCPs of codes on the GK curve and LCD codes on quotients of the Hermitian curve.
toXiv_bot_toot

Allan Xie drops more insightful observations... and I agree with him: "Mando & Grogu" is gonna be way bigger than anyone expects.
And Gogurt. #lol
▶️ It's kind of obvious isn't it? - Generation Tech
https://…

Ok, this is damned cool
https://bsky.app/profile/did:plc:qyz6pl4auoos7cahbc42yaod/post/3mlp7mfoucc2f

Zoe Tunnell (@zoewithasword.bsky.social)
I do not even know how to ride a bicycle and yet I have never needed anything more than this recreation of Bulma's motorcycle

Linkdump 24/2026 – #fundstücke

🇺🇦 Auf radioeins läuft...
Ebow:
🎵 Lesbisch
#NowPlaying #Ebow
https://open.spotify.com/track/0D06S3nyednNqqrh2eclGB

Serendipity 2.6.0 – #serendipity

🇺🇦 #NowPlaying on KEXP's #MiddayShow
Les Big Byrd:
🎵 Hökvind
#LesBigByrd
https://lesbigbyrd.bandcamp.com/track/h-kvind
https://open.spotify.com/track/6EjYa0k1UBaSx6lMg6kZBB

🇺🇦 #NowPlaying on KEXP's #MiddayShow
Neil Young:
🎵 Heart of Gold
#NeilYoung
https://open.spotify.com/track/26QKxvjlCo2fSd3T4c8Zpb