Best Known (41, 63, s)-Nets in Base 25
(41, 63, 710)-Net over F25 — Constructive and digital
Digital (41, 63, 710)-net over F25, using
- net defined by OOA [i] based on linear OOA(2563, 710, F25, 22, 22) (dual of [(710, 22), 15557, 23]-NRT-code), using
- OA 11-folding and stacking [i] based on linear OA(2563, 7810, F25, 22) (dual of [7810, 7747, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(2563, 7812, F25, 22) (dual of [7812, 7749, 23]-code), using
- OA 11-folding and stacking [i] based on linear OA(2563, 7810, F25, 22) (dual of [7810, 7747, 23]-code), using
(41, 63, 7450)-Net over F25 — Digital
Digital (41, 63, 7450)-net over F25, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2563, 7450, F25, 22) (dual of [7450, 7387, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(2563, 7812, F25, 22) (dual of [7812, 7749, 23]-code), using
(41, 63, large)-Net in Base 25 — Upper bound on s
There is no (41, 63, large)-net in base 25, because
- 20 times m-reduction [i] would yield (41, 43, large)-net in base 25, but