The Spectrum of Quantum Caps in PG(4,4)
Combinatorics
2009-12-23 v1
Abstract
We prove the non existence of quantum caps of sizes 37 and 39. This completes the spectrum of quantum caps in PG(4, 4). This also implies the non existence of linear [[37,27,4]] and [[39,29,4]]-codes. The problem of the existence of non linear quantum codes with such parameters remains still open.
Cite
@article{arxiv.0912.4461,
title = {The Spectrum of Quantum Caps in PG(4,4)},
author = {Daniele Bartoli and Stefano Marcugini and Fernanda Pambianco},
journal= {arXiv preprint arXiv:0912.4461},
year = {2009}
}
Comments
5 pages