ZarankiewiczDB,

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z(28,31) = 168

By deleting three rows from the finite projective plane of order 5.

lower bound = 168, submitted on April 23rd, 2016 (link)

Given by the convex optimisation bound with 18 columns of weight 5 and 13 columns of weight 6.

upper bound = 168, submitted on April 23rd, 2016 (link)

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