Best Known (23, 30, s)-Nets in Base 5
(23, 30, 1301)-Net over F5 — Constructive and digital
Digital (23, 30, 1301)-net over F5, using
- net defined by OOA [i] based on linear OOA(530, 1301, F5, 7, 7) (dual of [(1301, 7), 9077, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(530, 3904, F5, 7) (dual of [3904, 3874, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(530, 3906, F5, 7) (dual of [3906, 3876, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(530, 3904, F5, 7) (dual of [3904, 3874, 8]-code), using
(23, 30, 3906)-Net over F5 — Digital
Digital (23, 30, 3906)-net over F5, using
(23, 30, 2594379)-Net in Base 5 — Upper bound on s
There is no (23, 30, 2594380)-net in base 5, because
- 1 times m-reduction [i] would yield (23, 29, 2594380)-net in base 5, but
- the generalized Rao bound for nets shows that 5m ≥ 186 264617 787407 305521 > 529 [i]