At that point would it be better to just use a boolean array?
Here is an example I just wrote up that does pretty damn fast searches.
SET work_mem = '256 MB';
CREATE TABLE test_bool AS
SELECT id, array_agg(random() < 0.85) as boolean_column
FROM generate_series(1, 100)
CROSS JOIN generate_series(1, 500000) id
GROUP BY id;
CREATE INDEX idx_test_bool ON test_bool (boolean_column);
VACUUM ANALYZE test_bool;
SELECT *
FROM test_bool
ORDER BY random()
LIMIT 10
SELECT id
FROM test_bool
WHERE boolean_column =
'{t,t,t,t,t,t,t,t,t,t,t,t,t,t,t,t,t,t,t,f,t,t,t,t,f,t,t,t,t,t,t,t,t,t,t,t,t,t,t,t,t,t,t,t,t,f,t,t,t,t,t,t,t,t,t,t,t,t,t,t,t,f,f,t,t,t,t,t,t,t,t,t,f,t,t,t,t,t,t,t,t,t,t,t,t,t,t,t,t,t,t,t,t,t,t,t,t,t,t,f}'
