On codes that are invariant under the affine group.
The electronic journal of combinatorics, Tome 19 (2012) no. 4
Let $k[V]$ be the space of functions from a finite vector space into the algebraically closure of its field of scalars. This paper describes the lattice of subspaces of $k[V]$ which are invariant under the affine group ${\mathrm AGL}(V)$. The description provides a simple method for finding the submodule generated by any set of functions given as polynomials in the standard coordinates.
DOI :
10.37236/2326
Classification :
20C05, 20B25, 05E18, 51D25, 05E10, 94A60
Mots-clés : invariant codes, lattices of submodules, affine groups
Mots-clés : invariant codes, lattices of submodules, affine groups
Affiliations des auteurs :
Peter Sin  1
@article{10_37236_2326,
author = {Peter Sin},
title = {On codes that are invariant under the affine group.},
journal = {The electronic journal of combinatorics},
year = {2012},
volume = {19},
number = {4},
doi = {10.37236/2326},
zbl = {1283.20001},
url = {http://geodesic.mathdoc.fr/articles/10.37236/2326/}
}
Peter Sin. On codes that are invariant under the affine group.. The electronic journal of combinatorics, Tome 19 (2012) no. 4. doi: 10.37236/2326
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