Best Known (7−3, 7, s)-Nets in Base 128
(7−3, 7, large)-Net over F128 — Constructive and digital
Digital (4, 7, large)-net over F128, using
- net defined by OOA [i] based on linear OOA(1287, large, F128, 3, 3), using
- appending kth column [i] based on linear OOA(1287, large, F128, 2, 3), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(1287, large, F128, 3) (dual of [large, large−7, 4]-code), using
- appending kth column [i] based on linear OOA(1287, large, F128, 2, 3), using
(7−3, 7, large)-Net in Base 128 — Upper bound on s
There is no (4, 7, large)-net in base 128, because
- 1 times m-reduction [i] would yield (4, 6, large)-net in base 128, but