Best Known (25, 25+10, s)-Nets in Base 2
(25, 25+10, 52)-Net over F2 — Constructive and digital
Digital (25, 35, 52)-net over F2, using
- (u, u+v)-construction [i] based on
- digital (6, 11, 26)-net over F2, using
- digital (14, 24, 26)-net over F2, using
- 2 times m-reduction [i] based on digital (14, 26, 26)-net over F2, using
(25, 25+10, 64)-Net over F2 — Digital
Digital (25, 35, 64)-net over F2, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(235, 64, F2, 2, 10) (dual of [(64, 2), 93, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(235, 128, F2, 10) (dual of [128, 93, 11]-code), using
- a “Gp†code from Brouwer’s database [i]
- OOA 2-folding [i] based on linear OA(235, 128, F2, 10) (dual of [128, 93, 11]-code), using
(25, 25+10, 326)-Net in Base 2 — Upper bound on s
There is no (25, 35, 327)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 34605 542252 > 235 [i]