Best Known (2, 7, s)-Nets in Base 8
(2, 7, 28)-Net over F8 — Constructive and digital
Digital (2, 7, 28)-net over F8, using
- net defined by OOA [i] based on linear OOA(87, 28, F8, 5, 5) (dual of [(28, 5), 133, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
(2, 7, 101)-Net in Base 8 — Upper bound on s
There is no (2, 7, 102)-net in base 8, because
- 1 times m-reduction [i] would yield (2, 6, 102)-net in base 8, but
- extracting embedded orthogonal array [i] would yield OA(86, 102, S8, 4), but
- the linear programming bound shows that M ≥ 125 579264 / 475 > 86 [i]
- extracting embedded orthogonal array [i] would yield OA(86, 102, S8, 4), but