Enough with the proofs of the Hadamard circulant conjecture!  While I have great respect for people who are attacking such difficult problems, I would point out that Wikipedia is a resource for non-experts seeking information about what is known about a topic, not a place for advertising recent preprints whose validity can only be confirmed by experts.  Once the results in these papers become widely known to workers in the field, as they surely will, assuming they check out, it would be entirely appropriate to summarize them in the Wikipedia article.