Best Known (31, 48, s)-Nets in Base 25
(31, 48, 976)-Net over F25 — Constructive and digital
Digital (31, 48, 976)-net over F25, using
- net defined by OOA [i] based on linear OOA(2548, 976, F25, 17, 17) (dual of [(976, 17), 16544, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(2548, 7809, F25, 17) (dual of [7809, 7761, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2548, 7812, F25, 17) (dual of [7812, 7764, 18]-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(2548, 7809, F25, 17) (dual of [7809, 7761, 18]-code), using
(31, 48, 6416)-Net over F25 — Digital
Digital (31, 48, 6416)-net over F25, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2548, 6416, F25, 17) (dual of [6416, 6368, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2548, 7812, F25, 17) (dual of [7812, 7764, 18]-code), using
(31, 48, large)-Net in Base 25 — Upper bound on s
There is no (31, 48, large)-net in base 25, because
- 15 times m-reduction [i] would yield (31, 33, large)-net in base 25, but