Best Known (64, 64+35, s)-Nets in Base 25
(64, 64+35, 459)-Net over F25 — Constructive and digital
Digital (64, 99, 459)-net over F25, using
- net defined by OOA [i] based on linear OOA(2599, 459, F25, 35, 35) (dual of [(459, 35), 15966, 36]-NRT-code), using
- OOA 17-folding and stacking with additional row [i] based on linear OA(2599, 7804, F25, 35) (dual of [7804, 7705, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(2599, 7812, F25, 35) (dual of [7812, 7713, 36]-code), using
- OOA 17-folding and stacking with additional row [i] based on linear OA(2599, 7804, F25, 35) (dual of [7804, 7705, 36]-code), using
(64, 64+35, 7756)-Net over F25 — Digital
Digital (64, 99, 7756)-net over F25, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2599, 7756, F25, 35) (dual of [7756, 7657, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(2599, 7812, F25, 35) (dual of [7812, 7713, 36]-code), using
(64, 64+35, large)-Net in Base 25 — Upper bound on s
There is no (64, 99, large)-net in base 25, because
- 33 times m-reduction [i] would yield (64, 66, large)-net in base 25, but