Cyclic DNA codes over \(\mathbb{F}_2+u\mathbb{F}_2+v\mathbb{F}_2+uv\mathbb{F}_2\) and their applications
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Publication:1677148
DOI10.1007/S12190-016-1046-3zbMath1405.94127OpenAlexW2527772399MaRDI QIDQ1677148
Publication date: 10 November 2017
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-016-1046-3
Related Items (7)
Cyclic DNA codes over the ring \(\mathbb {F}_2+u\mathbb {F}_2+v\mathbb {F}_2+uv\mathbb {F}_2+v^2\mathbb {F}_2+uv^2\mathbb {F}_2\) ⋮ Unnamed Item ⋮ Designing DNA codes from reversible self-dual codes over \(\mathrm{GF}(4)\) ⋮ Cyclic DNA codes over \(\mathbb{F}_2[u,v/\langle u^3,v^2-v,vu-uv\rangle\)] ⋮ DNA computing over the ring ℤ4[v/〈v2 − v〉] ⋮ Cyclic DNA codes over the ring $\mathbb{Z}_4+u\mathbb{Z}_4+u^2\mathbb{Z}_4$ ⋮ Cyclic and Constacyclic Codes for F<sub>2</sub>[u,v/<u<sup>2</sup>,v<sup>3</sup> – v,uv,vu>]
Cites Work
- Unnamed Item
- On cyclic DNA codes over \({\mathbb {F}}_2+u{\mathbb {F}}_2\)
- Cyclic and constacyclic codes over a non-chain ring
- Codes over \(\mathbb F_{4}+v\mathbb F_4\) and some DNA applications
- A class of constacyclic codes over \(\mathbb F_{p}+v\mathbb F_{p}\) and its Gray image
- Cyclic codes over \(\mathbb F_2[u/(u^4-1)\) and applications to DNA codes]
- Cyclic DNA codes over the ring \(F_2[u/(u^2-1)\) based on the deletion distance]
- Construction of skew cyclic codes over \(\mathbb F_q+v\mathbb F_q\)
- Linear codes over \({\mathbb{F}_2+u\mathbb{F}_2+v\mathbb{F}_2+uv\mathbb{F}_2}\)
- A Griesmer bound for linear codes over finite quasi-Frobenius rings
- Cyclic codes over the rings \(\mathbb Z_2 + u\mathbb Z_2\) and \(\mathbb Z_2 + u\mathbb Z_2 + u^2 \mathbb Z_2\)
- Construction of cyclic codes over \(\mathbb F_2 + u\mathbb F_2\) for DNA computing
- Cyclic and Negacyclic Codes Over Finite Chain Rings
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
- Decoding of cyclic codes over F/sub 2/+uF/sub 2/
- Cyclic codes and self-dual codes over F/sub 2/+uF/sub 2/
- Lifted polynomials over F16 and their applications to DNA codes
- Some Results on Cyclic Codes Over ${F}_{2}+v{F}_{2}$
- Reversible codes
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