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Let A 2 (n, d) be the maximum size of a binary code of length n and minimum distance d. In this paper we present the following new lower bounds: A 2 (18, 4) ≥ 5632, A 2 (21, 4) ≥ 40960, A 2 (22, 4) ≥ 81920, A 2 (23, 4) ≥ 163840, A 2 (24, 4) ≥ 327680, A 2 (24, 10) ≥ 136, and A 2 (25, 6) ≥ 17920. The new lower bounds are a result of a systematic computer search over transitive permutation groups.
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