Best Known (23, 23+13, s)-Nets in Base 25
(23, 23+13, 1301)-Net over F25 — Constructive and digital
Digital (23, 36, 1301)-net over F25, using
- net defined by OOA [i] based on linear OOA(2536, 1301, F25, 13, 13) (dual of [(1301, 13), 16877, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(2536, 7807, F25, 13) (dual of [7807, 7771, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2536, 7812, F25, 13) (dual of [7812, 7776, 14]-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(2536, 7807, F25, 13) (dual of [7807, 7771, 14]-code), using
(23, 23+13, 5733)-Net over F25 — Digital
Digital (23, 36, 5733)-net over F25, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2536, 5733, F25, 13) (dual of [5733, 5697, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2536, 7812, F25, 13) (dual of [7812, 7776, 14]-code), using
(23, 23+13, large)-Net in Base 25 — Upper bound on s
There is no (23, 36, large)-net in base 25, because
- 11 times m-reduction [i] would yield (23, 25, large)-net in base 25, but