Geodesic
Classes of polynomial and variative coordinate polynomial functions over Galois ring
Prikladnaya Diskretnaya Matematika. Supplement, no. 6 (2013), pp. 13-15

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A new class of functions over Galois ring $R=\mathrm{GR}(q^m,p^m)$ named functions with the variative coordinate polynomiality (VCP-functions) is introduced. The relation between this class and the class of polynomial functions over $R$ is considered. An upper bound for the amount of such functions is presented, and sufficient conditions for a VCP-function not to be a polynomial are given.
Keywords: polynomial functions, Galois ring, coordinate set, VCP-functions. 
@article{PDMA_2013_6_a5,
     author = {M. V. Zaets},
     title = {Classes of polynomial and variative coordinate polynomial functions over {Galois} ring},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {13--15},
     publisher = {mathdoc},
     number = {6},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2013_6_a5/}
}
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M. V. Zaets. Classes of polynomial and variative coordinate polynomial functions over Galois ring. Prikladnaya Diskretnaya Matematika. Supplement, no. 6 (2013), pp. 13-15. http://geodesic.mathdoc.fr/item/PDMA_2013_6_a5/