Best Known (25, 25+14, s)-Nets in Base 27
(25, 25+14, 1405)-Net over F27 — Constructive and digital
Digital (25, 39, 1405)-net over F27, using
- net defined by OOA [i] based on linear OOA(2739, 1405, F27, 14, 14) (dual of [(1405, 14), 19631, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(2739, 9835, F27, 14) (dual of [9835, 9796, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2739, 9841, F27, 14) (dual of [9841, 9802, 15]-code), using
- OA 7-folding and stacking [i] based on linear OA(2739, 9835, F27, 14) (dual of [9835, 9796, 15]-code), using
(25, 25+14, 6929)-Net over F27 — Digital
Digital (25, 39, 6929)-net over F27, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2739, 6929, F27, 14) (dual of [6929, 6890, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2739, 9841, F27, 14) (dual of [9841, 9802, 15]-code), using
(25, 25+14, large)-Net in Base 27 — Upper bound on s
There is no (25, 39, large)-net in base 27, because
- 12 times m-reduction [i] would yield (25, 27, large)-net in base 27, but