We prove that if a subset of the $d$-dimensional vector space over a finite ring is large enough, then the number of $k$-tuples of mutually orthogonal vectors in this set is close to its expected value.
@article{10_37236_2147,
author = {Thang Van Pham and Anh Vinh Le},
title = {Orthogonal systems in vector spaces over finite rings},
journal = {The electronic journal of combinatorics},
year = {2012},
volume = {19},
number = {2},
doi = {10.37236/2147},
zbl = {1252.05024},
url = {http://geodesic.mathdoc.fr/articles/10.37236/2147/}
}
TY - JOUR
AU - Thang Van Pham
AU - Anh Vinh Le
TI - Orthogonal systems in vector spaces over finite rings
JO - The electronic journal of combinatorics
PY - 2012
VL - 19
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.37236/2147/
DO - 10.37236/2147
ID - 10_37236_2147
ER -
%0 Journal Article
%A Thang Van Pham
%A Anh Vinh Le
%T Orthogonal systems in vector spaces over finite rings
%J The electronic journal of combinatorics
%D 2012
%V 19
%N 2
%U http://geodesic.mathdoc.fr/articles/10.37236/2147/
%R 10.37236/2147
%F 10_37236_2147
Thang Van Pham; Anh Vinh Le. Orthogonal systems in vector spaces over finite rings. The electronic journal of combinatorics, Tome 19 (2012) no. 2. doi: 10.37236/2147