Some extremal postage stamp bases
Journal of integer sequences, Tome 13 (2010) no. 2
A set of $k$ positive integers is a postage stamp basis for $n$ if every positive integer up to $n$ can be expressed as the sum of no more than $h$ values from the set. An extremal basis is one for which $n$ is as large as possible. For the case $h = k = 8$, the unique extremal basis is $A = {1,8,13,58,169,295,831,1036}$, with $n = 3485$. Several other new extremal bases are presented, along with corrections to a previous article.
@article{JIS_2010__13_2_a2,
author = {Challis, Michael F. and Robinson, John P.},
title = {Some extremal postage stamp bases},
journal = {Journal of integer sequences},
year = {2010},
volume = {13},
number = {2},
zbl = {1210.11016},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2010__13_2_a2/}
}
Challis, Michael F.; Robinson, John P. Some extremal postage stamp bases. Journal of integer sequences, Tome 13 (2010) no. 2. http://geodesic.mathdoc.fr/item/JIS_2010__13_2_a2/