Best Known (189−10, 189, s)-Nets in Base 2
(189−10, 189, 8388602)-Net over F2 — Constructive and digital
Digital (179, 189, 8388602)-net over F2, using
- 23 times duplication [i] based on digital (176, 186, 8388602)-net over F2, using
- t-expansion [i] based on digital (175, 186, 8388602)-net over F2, using
- (u, u+v)-construction [i] based on
- digital (41, 46, 4194305)-net over F2, using
- digital (129, 140, 4194301)-net over F2, using
- net defined by OOA [i] based on linear OOA(2140, 4194301, F2, 15, 11) (dual of [(4194301, 15), 62914375, 12]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2140, large, F2, 3, 11), using
- net defined by OOA [i] based on linear OOA(2140, 4194301, F2, 15, 11) (dual of [(4194301, 15), 62914375, 12]-NRT-code), using
- (u, u+v)-construction [i] based on
- t-expansion [i] based on digital (175, 186, 8388602)-net over F2, using
(189−10, 189, large)-Net over F2 — Digital
Digital (179, 189, large)-net over F2, using
- 237 times duplication [i] based on digital (142, 152, large)-net over F2, using
- t-expansion [i] based on digital (141, 152, large)-net over F2, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2152, large, F2, 3, 11), using
- 4 times NRT-code embedding in larger space [i] based on linear OOA(2140, large, F2, 3, 11), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2152, large, F2, 3, 11), using
- t-expansion [i] based on digital (141, 152, large)-net over F2, using
(189−10, 189, large)-Net in Base 2 — Upper bound on s
There is no (179, 189, large)-net in base 2, because
- 8 times m-reduction [i] would yield (179, 181, large)-net in base 2, but