@inproceedings{grassl2015quantum,
author = {Grassl, M. and Roetteler, Martin},
title = {Quantum MDS Codes over Small Fields},
booktitle = {Proceedings of the 2015 IEEE International Symposium on Information Theory (ISIT'15), Hong Kong},
year = {2015},
month = {June},
abstract = {We consider quantum MDS (QMDS) codes for quantum systems of dimension q with lengths up to q2 + 2 and minimum distances up to q + 1. We show how starting from QMDS codes of length q2 + 1 based on cyclic and constacyclic codes, new QMDS codes can be obtained by shortening. We provide numerical evidence for our conjecture that almost all admissible lengths, from a lower bound n0(q,d) on, are achievable by shortening. Some additional codes that fill gaps in the list of achievable lengths are presented as well along with a construction of a family of QMDS codes of length q2 +2, where q = 2m, that appears to be new.},
publisher = {IEEE - Institute of Electrical and Electronics Engineers},
url = {http://approjects.co.za/?big=en-us/research/publication/quantum-mds-codes-over-small-fields-2/},
pages = {1104-1108},
edition = {Proceedings of the 2015 IEEE International Symposium on Information Theory (ISIT'15), Hong Kong},
note = {See also arXiv preprint arXiv:1502.05267},
}