Best Known (8, 11, s)-Nets in Base 9
(8, 11, 1411830)-Net over F9 — Constructive and digital
Digital (8, 11, 1411830)-net over F9, using
- net defined by OOA [i] based on linear OOA(911, 1411830, F9, 3, 3) (dual of [(1411830, 3), 4235479, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(911, 1411830, F9, 2, 3) (dual of [(1411830, 2), 2823649, 4]-NRT-code), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(911, 1411830, F9, 3) (dual of [1411830, 1411819, 4]-code or 1411830-cap in PG(10,9)), using
- appending kth column [i] based on linear OOA(911, 1411830, F9, 2, 3) (dual of [(1411830, 2), 2823649, 4]-NRT-code), using
(8, 11, large)-Net in Base 9 — Upper bound on s
There is no (8, 11, large)-net in base 9, because
- 1 times m-reduction [i] would yield (8, 10, large)-net in base 9, but