New Quantum Codes from Skew Constacyclic Codes Over a Class Of Non-Chain Rings Re, q
In this paper, for q= pm (p is prime) such that q≡ 1 (mod e), we study skew constacyclic
codes over a class of non-chain rings R e, q= F qu/< ue− 1> R_e,q=F_qu/⟨u^e-1⟩ where m …
codes over a class of non-chain rings R e, q= F qu/< ue− 1> R_e,q=F_qu/⟨u^e-1⟩ where m …
A study of cyclic and constacyclic codes over Z4 + uZ4 + vZ4
In this paper, we study some properties of cyclic and constacyclic codes over the ring R=
Z4+ u Z4+ v Z4 where u 2= uv= vu= 0. The generator polynomials and minimal spanning set …
Z4+ u Z4+ v Z4 where u 2= uv= vu= 0. The generator polynomials and minimal spanning set …
Self-dual and LCD double circulant and double negacirculant codes over
Let q be an odd prime power, and denote by F _q F q the finite field with q elements. In this
paper, we consider the ring R= F _q+ u F _q+ v F _q R= F q+ u F q+ v F q, where u^ 2= u, v …
paper, we consider the ring R= F _q+ u F _q+ v F _q R= F q+ u F q+ v F q, where u^ 2= u, v …
A class of constacyclic codes over the ring Z4 [u, v]/< u2, v2, uv-vu> and their Gray images
In this paper, we study (1+ 2u+ 2v)-constacyclic and skew (1+ 2u+ 2v)-constacyclic codes
over the ring Z4+ uZ4+ vZ4+ uvZ4 where u2= v2= 0, uv= vu. We define some new Gray …
over the ring Z4+ uZ4+ vZ4+ uvZ4 where u2= v2= 0, uv= vu. We define some new Gray …
A class of constacyclic codes over
In this paper, we study λ λ-constacyclic and skew λ λ-constacyclic codes over the ring Z _ 4
u/⟨ u^ k ⟩ Z 4 u/⟨ uk⟩ where u^ k= 0 uk= 0 with λ=(1+ 2u^ k-1) λ=(1+ 2 uk-1) and (3+ 2u^ k …
u/⟨ u^ k ⟩ Z 4 u/⟨ uk⟩ where u^ k= 0 uk= 0 with λ=(1+ 2u^ k-1) λ=(1+ 2 uk-1) and (3+ 2u^ k …
Some Constacyclic Codes over , New Gray Maps, and New Quaternary Codes
In this paper, we study λ-constacyclic codes over the ring R= ℤ4+ u ℤ4, where u 2= 0, for λ=
1+ 3 u and 3+ u. We introduce two new Gray maps from R to ℤ 4 4 and show that the Gray …
1+ 3 u and 3+ u. We introduce two new Gray maps from R to ℤ 4 4 and show that the Gray …
New codes from constacyclic codes over a non-chain ring
Let Z _ 4 Z 4 be the ring of integers modulo 4. This paper presents (1+ 2u+ 2v+ 2uv)(1+ 2 u+
2 v+ 2 uv)-constacyclic and skew (1+ 2u+ 2v+ 2uv)(1+ 2 u+ 2 v+ 2 uv)-constacyclic codes …
2 v+ 2 uv)-constacyclic and skew (1+ 2u+ 2v+ 2uv)(1+ 2 u+ 2 v+ 2 uv)-constacyclic codes …
linear skew constacyclic codes
A Melakhessou, N Aydin, Z Hebbache… - Journal of Algebra …, 2019 - dergipark.org.tr
In this paper, we study skew constacyclic codes over the ring $\mathbb {Z} _ {q} R $ where $
R=\mathbb {Z} _ {q}+ u\mathbb {Z} _ {q} $, $ q= p^{s} $ for a prime $ p $ and $ u^{2}= 0. $ We …
R=\mathbb {Z} _ {q}+ u\mathbb {Z} _ {q} $, $ q= p^{s} $ for a prime $ p $ and $ u^{2}= 0. $ We …
Linear codes over and the MacWilliams identities
F Çalışkan, R Aksoy - Applicable Algebra in Engineering, Communication …, 2020 - Springer
In this work, we study linear codes over the ring F _2 * (F _2+ v F _2) F 2×(F 2+ v F 2) and
their weight enumerators, where v^ 2= vv 2= v. We first give the structure of the ring and …
their weight enumerators, where v^ 2= vv 2= v. We first give the structure of the ring and …
A note on constacyclic and skew constacyclic codes over the ring Zp [u, v]/hu 2− u, v2− v, uv− vui
For odd prime p, this paper studies (1+(p-2)u)-constacyclic codes over the ring
R=Z_pu,v/⟨u^2-u,v^2-v,uv-vu⟩. We show that the Gray images of (1+(p-2)u)-constacyclic …
R=Z_pu,v/⟨u^2-u,v^2-v,uv-vu⟩. We show that the Gray images of (1+(p-2)u)-constacyclic …