On Modular Gray Map
Abstract
This paper introduces an isometry between the modular rings 2s and 2s-1 with respect to the homogeneous weights. Certain product of these maps gives Carlet's generalised Gray map and also Vega's Gray map. For s=2 this reduces to popular Gray map. Several interesting properties of these maps are studied. Towards the end we list several interesting problems to work on.
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