Best Known (115−8, 115, s)-Nets in Base 2
(115−8, 115, 4194301)-Net over F2 — Constructive and digital
Digital (107, 115, 4194301)-net over F2, using
- net defined by OOA [i] based on linear OOA(2115, 4194301, F2, 8, 8) (dual of [(4194301, 8), 33554293, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2115, large, F2, 2, 8), using
(115−8, 115, large)-Net over F2 — Digital
Digital (107, 115, large)-net over F2, using
- net defined by OOA [i] based on linear OOA(2115, large, F2, 8, 8), using
- appending kth column [i] based on linear OOA(2115, large, F2, 7, 8), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2115, large, F2, 2, 8), using
- appending kth column [i] based on linear OOA(2115, large, F2, 7, 8), using
(115−8, 115, large)-Net in Base 2 — Upper bound on s
There is no (107, 115, large)-net in base 2, because
- 6 times m-reduction [i] would yield (107, 109, large)-net in base 2, but