Best Known (34, 34+14, s)-Nets in Base 9
(34, 34+14, 468)-Net over F9 — Constructive and digital
Digital (34, 48, 468)-net over F9, using
- net defined by OOA [i] based on linear OOA(948, 468, F9, 14, 14) (dual of [(468, 14), 6504, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(948, 3276, F9, 14) (dual of [3276, 3228, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(948, 3281, F9, 14) (dual of [3281, 3233, 15]-code), using
- OA 7-folding and stacking [i] based on linear OA(948, 3276, F9, 14) (dual of [3276, 3228, 15]-code), using
(34, 34+14, 3281)-Net over F9 — Digital
Digital (34, 48, 3281)-net over F9, using
(34, 34+14, 1476402)-Net in Base 9 — Upper bound on s
There is no (34, 48, 1476403)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 6362 704946 670754 628452 848239 863802 712288 493737 > 948 [i]