On gray images of constacyclic codes over the finite ring F₂ + u₁F₂ + u₂F₂
Künye
Özkan, M., Dertli, A. & Çengellenmiş, Y. (2019). On gray images of constacyclic codes over the finite ring F₂ + u₁F₂ + u₂F₂. TWMS Journal of Applied and Engineering Mathematics, 9(4), 876-881.Özet
We introduce the finite ring F₂ + u₁F₂ + u₂F₂, u₁ ² = u₁ , u₂ ² = 0 , u₁.u₂ = u₂.u₁ = 0 which is not a finite chain ring. We focus on (1 + u₂) -constacyclic codes over F₂ + u₁F₂ + u₂F₂ of odd length. We prove that the Gray image of a linear (1 + u₂) -constacyclic code over F₂ + u₁F₂ + u₂F₂ of odd length n is a quasi-cyclic code of index 4 and length 4n over F₂.
Kaynak
TWMS Journal of Applied and Engineering MathematicsCilt
9Sayı
4Bağlantı
https://hdl.handle.net/11729/2778http://jaem.isikun.edu.tr/web/index.php/archive/103-vol9no4/475
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