Block coded modulation using two-level group codes over generalized quaternion groups

This paper deals with Euclidean space codes obtained from two-level group codes of length n over a generalized quaternion group Q _m, m⩾3, with 2^m elements, with generators x and y, given by the presentation Q_m=<x,y|x^2m-1=1,x^2m-2=y² ,xy=yx^-1> using a matched labelling of a 4-dimensional signal set with 2^m elements with Q_m