Best Known (13−3, 13, s)-Nets in Base 81
(13−3, 13, large)-Net over F81 — Constructive and digital
Digital (10, 13, large)-net over F81, using
- 816 times duplication [i] based on digital (4, 7, large)-net over F81, using
- net defined by OOA [i] based on linear OOA(817, large, F81, 3, 3), using
- appending kth column [i] based on linear OOA(817, large, F81, 2, 3), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(817, large, F81, 3) (dual of [large, large−7, 4]-code), using
- appending kth column [i] based on linear OOA(817, large, F81, 2, 3), using
- net defined by OOA [i] based on linear OOA(817, large, F81, 3, 3), using
(13−3, 13, large)-Net in Base 81 — Upper bound on s
There is no (10, 13, large)-net in base 81, because
- 1 times m-reduction [i] would yield (10, 12, large)-net in base 81, but