DNA Codes over a Non-chain Ring

Merve Bulut Yılgör

doi:10.30931/jetas.1868053

Araştırma Makalesi

Bir zincir olmayan halka üzerinde DNA kodlar

Yıl 2026, Cilt: 11 , 19 - 29 , 27.03.2026

Merve Bulut Yılgör

https://doi.org/10.30931/jetas.1868053

https://izlik.org/JA35NM78PK

Öz

$R=F_2[u,v,w]/\langle u^2=v^2,\, uv=0,\, w^2=w\rangle$ halkası üzerinde oluşturulan DNA kodlarının cebirsel yapısını inceliyoruz. Bu halka, değişmeli yerel Frobenius zincirsiz halkadır. $R$ üzerinde bir Gray haritası tanımlıyoruz ve Gray haritasının görüntülerini kullanarak DNA kodları oluşturuyoruz. Halka üzerinde tersinir DNA kodları ve tersinir tamamlayıcı DNA kodları tanımlıyoruz.

Anahtar Kelimeler

Linear codes , DNA codes

Kaynakça

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