  Twists are defects in the lattice that can be used to perform encoded
computations. Three basic types of twists can be introduced in color codes,
namely, twists that permute color, charge of anyons and domino twists that
permute the charge label of an anyon with a color label. In this paper, we
study a subset these twists from coding theoretic viewpoint. Specifically, we
discuss systematic construction of charge permuting and color permuting twists
in color codes. We show that by braiding alone, Clifford gates can be realized
in color codes with charge permuting twists. We also discuss implementing
single qubit Clifford gates by Pauli frame update and CNOT gate by braiding
holes around twists in color codes with color permuting twists. Finally, we
also discuss implementing a non-Clifford gate by state injection, thus
completing the realization of a universal gate set.
