On quantum tensor product codes

On quantum tensor product codes

Quantum Tensor Product Codes

Jihao Fan, ∗ Yonghui Li, † Min-Hsiu Hsieh, ‡ and Hanwu Chen 4, § School of Computer Science and Engineering, Southeast University, Nanjing, Jiangsu 211189, China School of Electrical and Information Engineering, University of Sydney, Sydney, NSW 2006, Australia Centre for Quantum Computation and Intelligent Systems, Faculty of Engineering and Information Technology, University of Technology Syd...

Twisted tensor product codes

We present two families of constacyclic linear codes with large automorphism groups. The codes are obtained from the twisted tensor product construction. AMS subject classification: 05E20, 05B25, 11T71, 94B25, 94B27, 51E22, 51E20, 20G40, 14L35

A Note on Tensor Product of Graphs

Let $G$ and $H$ be graphs. The tensor product $Gotimes H$ of $G$ and $H$ has vertex set $V(Gotimes H)=V(G)times V(H)$ and edge set $E(Gotimes H)={(a,b)(c,d)| acin E(G):: and:: bdin E(H)}$. In this paper, some results on this product are obtained by which it is possible to compute the Wiener and Hyper Wiener indices of $K_n otimes G$.

Families of twisted tensor product codes

Using geometric properties of the variety Vr,t, the image under the Grassmannian map of a Desarguesian (t− 1)-spread of PG (rt− 1, q), we introduce error correcting codes related to the twisted tensor product construction, producing several families of constacyclic codes. We exactly determine the parameters of these codes and characterise the words of minimum weight.