We adapt a construction of Klee (1981) to find a packing of unit balls in ℓp (1≤p<∞) which is efficient in the sense that enlarging the radius of each ball to any R>21−1/p covers the whole space. We show that the value 21−1/p is optimal.
@article{arxiv.0806.4473,
title = {Simultaneous packing and covering in sequence spaces},
author = {Konrad J. Swanepoel},
journal= {arXiv preprint arXiv:0806.4473},
year = {2015}
}