Best Known (142−10, 142, s)-Nets in Base 2
(142−10, 142, 4194301)-Net over F2 — Constructive and digital
Digital (132, 142, 4194301)-net over F2, using
- 22 times duplication [i] based on digital (130, 140, 4194301)-net over F2, using
- net defined by OOA [i] based on linear OOA(2140, 4194301, F2, 15, 10) (dual of [(4194301, 15), 62914375, 11]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2140, large, F2, 3, 10), using
- strength reduction [i] based on linear OOA(2140, large, F2, 3, 11), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2140, large, F2, 3, 10), using
- net defined by OOA [i] based on linear OOA(2140, 4194301, F2, 15, 10) (dual of [(4194301, 15), 62914375, 11]-NRT-code), using
(142−10, 142, large)-Net over F2 — Digital
Digital (132, 142, large)-net over F2, using
- 22 times duplication [i] based on digital (130, 140, large)-net over F2, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2140, large, F2, 3, 10), using
- strength reduction [i] based on linear OOA(2140, large, F2, 3, 11), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2140, large, F2, 3, 10), using
(142−10, 142, large)-Net in Base 2 — Upper bound on s
There is no (132, 142, large)-net in base 2, because
- 8 times m-reduction [i] would yield (132, 134, large)-net in base 2, but