Best Known (15−4, 15, s)-Nets in Base 2
(15−4, 15, 149)-Net over F2 — Constructive and digital
Digital (11, 15, 149)-net over F2, using
(15−4, 15, 151)-Net over F2 — Digital
Digital (11, 15, 151)-net over F2, using
- net defined by OOA [i] based on linear OOA(215, 151, F2, 4, 4) (dual of [(151, 4), 589, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(215, 151, F2, 3, 4) (dual of [(151, 3), 438, 5]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(215, 151, F2, 4) (dual of [151, 136, 5]-code), using
- a “GB†code from Brouwer’s database [i]
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(215, 151, F2, 4) (dual of [151, 136, 5]-code), using
- appending kth column [i] based on linear OOA(215, 151, F2, 3, 4) (dual of [(151, 3), 438, 5]-NRT-code), using
(15−4, 15, 253)-Net in Base 2 — Upper bound on s
There is no (11, 15, 254)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 32894 > 215 [i]