Nonbinary Quantum Reed-Muller Codes Academic Article uri icon

abstract

  • 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 Rötteler on the existence of q-Ary quantum MDS codes of length n with q ≤ n ≤ q2 - 1.

author list (cited authors)

  • Sarvepalli, P. K., & Klappenecker, A.

citation count

  • 27

publication date

  • January 2005

publisher