Best Known (22, 32, s)-Nets in Base 9
(22, 32, 656)-Net over F9 — Constructive and digital
Digital (22, 32, 656)-net over F9, using
- net defined by OOA [i] based on linear OOA(932, 656, F9, 10, 10) (dual of [(656, 10), 6528, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(932, 3280, F9, 10) (dual of [3280, 3248, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(932, 3281, F9, 10) (dual of [3281, 3249, 11]-code), using
- OA 5-folding and stacking [i] based on linear OA(932, 3280, F9, 10) (dual of [3280, 3248, 11]-code), using
(22, 32, 2342)-Net over F9 — Digital
Digital (22, 32, 2342)-net over F9, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(932, 2342, F9, 10) (dual of [2342, 2310, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(932, 3281, F9, 10) (dual of [3281, 3249, 11]-code), using
(22, 32, 416769)-Net in Base 9 — Upper bound on s
There is no (22, 32, 416770)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 3 433717 924485 665707 640871 864273 > 932 [i]