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On Modular Gray Map

10/28/2022

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by Manish K Gupta, et al.

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This paper introduces an isometry between the modular rings _2^s and _2^s-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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