Nonbinary Quantum Reed-Muller Codes
  We construct nonbinary quantum codes from classical generalized Reed-Muller codes and derive the conditions under which these quantum codes can be punctured. We provide a partial answer to a question raised by Grassl, Beth and Roetteler on the existence of q-ary quantum MDS codes of length n with q\le n\le q^2-1. 
Pradeep Kiran Sarvepalli and Andreas Klappenecker (Texas A&M   University)