Quantum constacyclic codes
Xinmei Wang · Journal of Xidian University · 2009
A new class of quantum stabilizer codes is presented.The problem of finding stabilizer quantum-error-correcting codes can be transformed into the problem of finding additive self-orthogonal codes over the Galois field GF(4) under a trace inner product.Based on this connection,one method for constructing quantum constacyclic codes is presented by finding self-orthogonal classical constacyclic codes over the field GF(4) under a trace inner product.Finally,some examples are given.As an application of this method,quantum Hamming codes are constructed.This class of quantum codes includes well-known quantum cyclic codes.