Best Known (21, 21+12, s)-Nets in Base 49
(21, 21+12, 1225)-Net over F49 — Constructive and digital
Digital (21, 33, 1225)-net over F49, using
- net defined by OOA [i] based on linear OOA(4933, 1225, F49, 12, 12) (dual of [(1225, 12), 14667, 13]-NRT-code), using
- OA 6-folding and stacking [i] based on linear OA(4933, 7350, F49, 12) (dual of [7350, 7317, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(4933, 7353, F49, 12) (dual of [7353, 7320, 13]-code), using
- OA 6-folding and stacking [i] based on linear OA(4933, 7350, F49, 12) (dual of [7350, 7317, 13]-code), using
(21, 21+12, 12038)-Net over F49 — Digital
Digital (21, 33, 12038)-net over F49, using
(21, 21+12, large)-Net in Base 49 — Upper bound on s
There is no (21, 33, large)-net in base 49, because
- 10 times m-reduction [i] would yield (21, 23, large)-net in base 49, but