MinT - Best Known (6, 6+6, s)-Nets in Base 2

Best Known (6, 6+6, s)-Nets in Base 2

(6, 6+6, 21)-Net over F₂ — Constructive and digital

Digital (6, 12, 21)-net over F₂, using

linear code embedding found in a computer search [i]

(6, 6+6, 24)-Net in Base 2 — Upper bound on s

There is no (6, 12, 25)-net in base 2, because

extracting embedded OOA [i] would yield OOA(2¹², 25, S₂, 2, 6), but
- the linear programming bound for OOAs shows that MÂ â‰¥ 41617 254912 / 10 015825 > 2¹² [i]