On Modular Gray Map
Information Theory
2022-10-31 v1 math.IT
Abstract
This paper introduces an isometry between the modular rings and with respect to the homogeneous weights. Certain product of these maps gives Carlet's generalised Gray map and also Vega's Gray map. For 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.
Cite
@article{arxiv.2210.16165,
title = {On Modular Gray Map},
author = {Manish K Gupta},
journal= {arXiv preprint arXiv:2210.16165},
year = {2022}
}
Comments
12 pages, note, presented at the Special Session on Algebraic Coding Theory, Central Section Meeting \#995, American Mathematical Society, Athens,OH, 26-27 March 2004