Parity results for broken 11-diamond partitions

Recently, Dai proved new infinite families of congruences modulo 2 for broken 11-diamond partition functions by using Hecke operators. In this note, we establish new parity results for broken 11-diamond partition functions. In particular, we generalize the congruences due to Dai by utilizing an identity due to Newman. Furthermore, we prove some strange congruences modulo 2 for broken 11-diamond partition functions. For example, we prove that if p is a prime with p not equal 623 and Delta(11) (2p + 1) equivalent to 1 (mod 2), then for any k >= 0, Delta(11) (2p(3k+3) + 1) equivalent to 1 (mod 2), where Delta(11) (n) is the number of broken 11-diamond partitions of n.