MinT - Best Known (4, 12, s)-Nets in Base 2

Best Known (4, 12, s)-Nets in Base 2

(4, 12, 9)-Net over F₂ — Constructive and digital

Digital (4, 12, 9)-net over F₂, using

linear code embedding found in a computer search [i]

(4, 12, 11)-Net in Base 2 — Upper bound on s

There is no (4, 12, 12)-net in base 2, because

extracting embedded OOA [i] would yield OOA(2¹², 12, S₂, 3, 8), but
- the linear programming bound for OOAs shows that MÂ â‰¥ 18301 480960 / 4 158401 > 2¹² [i]