Best Known (8−3, 8, s)-Nets in Base 49
(8−3, 8, large)-Net over F49 — Constructive and digital
Digital (5, 8, large)-net over F49, using
- net defined by OOA [i] based on linear OOA(498, large, F49, 3, 3), using
- appending kth column [i] based on linear OOA(498, large, F49, 2, 3), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(498, large, F49, 3) (dual of [large, large−8, 4]-code), using
- appending kth column [i] based on linear OOA(498, large, F49, 2, 3), using
(8−3, 8, large)-Net in Base 49 — Upper bound on s
There is no (5, 8, large)-net in base 49, because
- 1 times m-reduction [i] would yield (5, 7, large)-net in base 49, but