Best Known (30−16, 30, s)-Nets in Base 2
(30−16, 30, 16)-Net over F2 — Constructive and digital
Digital (14, 30, 16)-net over F2, using
(30−16, 30, 34)-Net over F2 — Upper bound on s (digital)
There is no digital (14, 30, 35)-net over F2, because
- extracting embedded orthogonal array [i] would yield linear OA(230, 35, F2, 16) (dual of [35, 5, 17]-code), but
(30−16, 30, 37)-Net in Base 2 — Upper bound on s
There is no (14, 30, 38)-net in base 2, because
- extracting embedded orthogonal array [i] would yield OA(230, 38, S2, 16), but
- the linear programming bound shows that M ≥ 10737 418240 / 9 > 230 [i]