This letter describes several techniques for optimizing software implementations of E2 on various platforms. We propose optimization techniques for each part of E2; a new inversion algorithm, efficient byte splitting and merging for BP-Function, and an efficient SPN (Substitution-Permutation Network) implementation for 32- or 64-bit processors. As a result, E2 achieves the encryption speeds of 100.5 kb/s, 68.3 Mb/s, 162.3 Mb/s, and 130.8 Mb/s for H8/300 (5 MHz), Pentium Pro (200 MHz), Pentium II (450 MHz), and 21164A (600 MHz).