Best Known (48, 75, s)-Nets in Base 25
(48, 75, 600)-Net over F25 — Constructive and digital
Digital (48, 75, 600)-net over F25, using
- net defined by OOA [i] based on linear OOA(2575, 600, F25, 27, 27) (dual of [(600, 27), 16125, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(2575, 7801, F25, 27) (dual of [7801, 7726, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(2575, 7812, F25, 27) (dual of [7812, 7737, 28]-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(2575, 7801, F25, 27) (dual of [7801, 7726, 28]-code), using
(48, 75, 5813)-Net over F25 — Digital
Digital (48, 75, 5813)-net over F25, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2575, 5813, F25, 27) (dual of [5813, 5738, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(2575, 7812, F25, 27) (dual of [7812, 7737, 28]-code), using
(48, 75, large)-Net in Base 25 — Upper bound on s
There is no (48, 75, large)-net in base 25, because
- 25 times m-reduction [i] would yield (48, 50, large)-net in base 25, but