I need an algorithm for boolean matrix multiplication, but with complexity O(n^2.81 / log_2^0.4 n). Naive approach is O(n^3). I know about Strassen algorithm and four russians algorithms but they are too slow (O(n^2.81) and O(n^3 / log_2 n) respectively).
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according to wikipedia, there are some faster ones (check See also section)
http://en.wikipedia.org/wiki/Strassen_algorithm
for the rest, your question is quite limited