Binary linear hashing matches fully independent hashing in the leading term and dominant second-order correction of expected maximum load up to a 1+o(1) factor.
Therefore, by linearity of expectation, Eh[Ta(h)] =|I a|n−a
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A Note on Second-Order Expected Maximum-Load Bounds for Binary Linear Hashing
Binary linear hashing matches fully independent hashing in the leading term and dominant second-order correction of expected maximum load up to a 1+o(1) factor.