Best Known (11, 18, s)-Nets in Base 25
(11, 18, 1301)-Net over F25 — Constructive and digital
Digital (11, 18, 1301)-net over F25, using
- net defined by OOA [i] based on linear OOA(2518, 1301, F25, 7, 7) (dual of [(1301, 7), 9089, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(2518, 3904, F25, 7) (dual of [3904, 3886, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(2518, 3906, F25, 7) (dual of [3906, 3888, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(2518, 3904, F25, 7) (dual of [3904, 3886, 8]-code), using
(11, 18, 3906)-Net over F25 — Digital
Digital (11, 18, 3906)-net over F25, using
(11, 18, 6321679)-Net in Base 25 — Upper bound on s
There is no (11, 18, 6321680)-net in base 25, because
- 1 times m-reduction [i] would yield (11, 17, 6321680)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 582076 721873 063045 704321 > 2517 [i]