Quantum Codes as an Application of Constacyclic Codes
Résumé
The main focus of this paper is to analyze the algebraic structure of constacyclic codes over the ring R =
2β 2 w 2 = 0, and α, β ∈ F p \ {0}, for a prime p. We begin by introducing a Gray map defined over R, which is associated with an invertible matrix. We demonstrate its advantages over the canonical Gray map through some examples. Finally, we create new and improved quantum codes from constacyclic codes over R using Calderbank-Shore-Steane (CSS) construction.
Domaines
Théorie de l'information [cs.IT]| Origine | Fichiers éditeurs autorisés sur une archive ouverte |
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