Best Known (21−8, 21, s)-Nets in Base 25
(21−8, 21, 976)-Net over F25 — Constructive and digital
Digital (13, 21, 976)-net over F25, using
- net defined by OOA [i] based on linear OOA(2521, 976, F25, 8, 8) (dual of [(976, 8), 7787, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(2521, 3904, F25, 8) (dual of [3904, 3883, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(2521, 3906, F25, 8) (dual of [3906, 3885, 9]-code), using
- OA 4-folding and stacking [i] based on linear OA(2521, 3904, F25, 8) (dual of [3904, 3883, 9]-code), using
(21−8, 21, 3906)-Net over F25 — Digital
Digital (13, 21, 3906)-net over F25, using
(21−8, 21, 2013845)-Net in Base 25 — Upper bound on s
There is no (13, 21, 2013846)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 227373 679441 798976 499329 732545 > 2521 [i]