Infinite families of congruences modulo powers of 2 for some partition functions involving only odd parts

Let Q(8)(n) and Q([1krk])(n) count the 8-colored partitions of n into odd parts and the 2k-color partitions of n into odd parts, respectively, where the multiples of r can appear in 2k colors and the others can appear in k colors. In this paper, we find infinite families of congruences modulo powers of 2 for Q(8)(n), Q([1232])(n), Q([1454])(n), and Q([12112])(n).