Best Known (15, 24, s)-Nets in Base 25
(15, 24, 976)-Net over F25 — Constructive and digital
Digital (15, 24, 976)-net over F25, using
- net defined by OOA [i] based on linear OOA(2524, 976, F25, 9, 9) (dual of [(976, 9), 8760, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(2524, 3905, F25, 9) (dual of [3905, 3881, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(2524, 3906, F25, 9) (dual of [3906, 3882, 10]-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(2524, 3905, F25, 9) (dual of [3905, 3881, 10]-code), using
(15, 24, 3906)-Net over F25 — Digital
Digital (15, 24, 3906)-net over F25, using
(15, 24, large)-Net in Base 25 — Upper bound on s
There is no (15, 24, large)-net in base 25, because
- 7 times m-reduction [i] would yield (15, 17, large)-net in base 25, but