MinT - Best Known (8, 8+11, s)-Nets in Base 2

Best Known (8, 8+11, s)-Nets in Base 2

(8, 8+11, 14)-Net over F₂ — Constructive and digital

Digital (8, 19, 14)-net over F₂, using

linear code embedding found in a computer search [i]

(8, 8+11, 21)-Net in Base 2 — Upper bound on s

There is no (8, 19, 22)-net in base 2, because

extracting embedded OOA [i] would yield OOA(2¹⁹, 22, S₂, 2, 11), but
- the linear programming bound for OOAs shows that MÂ â‰¥ 101710 299136 / 173433 > 2¹⁹ [i]