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In this paper, we study cyclic codes over the ring Z p + uZ p + · · · + u k−1 Z p , where u k = 0. We find a set of generator for these codes. We also study the rank, the dual and the Hamming distance of these codes.

In this paper, we study the theory for constructing DNA cyclic codes of odd length over Z 4 [u]/u 2 which play an important role in DNA computing. Cyclic codes of odd length over Z 4 + uZ 4 satisfy the reverse constraint and the reverse-complement constraint are studied in this paper. The structure and existence of such codes are also studied. The paper… (More)

Cyclic codes over R have been introduced recently. In this paper, we study the cyclic codes over R and their Z 2 image. Making use of algebraic structure, we find the some good Z 2 codes of length 28.

In this paper, we develop the theory for constructing DNA cyclic codes of odd length over R = Z 4 [u]/u 2 − 1 based on the deletion distance. Firstly, we relate DNA pairs with a special 16 elements of ring R. Cyclic codes of odd length over R satisfy the reverse constraint and the reverse-complement constraint are discussed in this paper. We also study the… (More)

The aim of this paper is to develop the theory for constructing DNA cyclic codes of odd length over R = Z 4 [u]/u 2 − 1. Firstly, we relate DNA pairs with a special 16 element of ring R. Cyclic codes of odd length over R satisfy the reverse constraint and the reverse-complement constraint are discussed in this paper. We also study the GC-content of these… (More)

Let R = F 2 + uF 2 + u 2 F 2 be a non-chain finite commutative ring, where u 3 = u. In this paper, we mainly study the construction of quantum codes from cyclic codes over R. We obtained self-orthogonal codes over F 2 as gray images of linear and cyclic codes over R. The parameters of quantum codes which are obtained from cyclic code over R are discussed.

- Ann E. Evans, Abhishek Tripathi, Heather M. LaPorte, Lioubov I. Brueggemann, Abhay Kumar Singh, Lauren J. Albee +6 others
- International journal of molecular sciences
- 2016

Recent evidence suggests that C-X-C chemokine receptor type 4 (CXCR4) heteromerizes with α1A/B-adrenoceptors (AR) and atypical chemokine receptor 3 (ACKR3) and that CXCR4:α1A/B-AR heteromers are important for α₁-AR function in vascular smooth muscle cells (VSMC). Structural determinants for CXCR4 heteromerization and functional consequences of… (More)

In this paper, we mainly study the some structure of cyclic DNA codes of odd length over the ring $R = \F_2[u,v]/\langle u^2-1,v^3-v,uv-vu \rangle$ which play an important role in DNA computing. We established a direct link between the element of ring $R$ and 64 codons by introducing a Gray map from $R$ to $R_1 = F_2 + uF_2, u^2 = 1$ where $R_1$ is the ring… (More)

- Abhay Kumar Singh, Rahul Kumar, Abhay Anand Shukla, Gururao Hariprasad, Shyam Sunder Chauhan, Sharmistha Dey
- Molecular Biology Reports
- 2014

5-Lipoxygenase (5-LO) is one of the members of Lipoxygenase family. It breaks down arachidonic acid to pro-inflammatory compounds like leukotrienes. Leukotriene plays a major role in the inflammatory process. In this study, while cloning full length 5-LO, a novel splice variant of 5-LO (t5-LO) was found to be expressed in HepG2 cell line. The complete ORF… (More)