Best Known (146, 155, s)-Nets in Base 2
(146, 155, 4718590)-Net over F2 — Constructive and digital
Digital (146, 155, 4718590)-net over F2, using
- net defined by OOA [i] based on linear OOA(2155, 4718590, F2, 9, 9) (dual of [(4718590, 9), 42467155, 10]-NRT-code), using
- appending kth column [i] based on linear OOA(2155, 4718590, F2, 8, 9) (dual of [(4718590, 8), 37748565, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(239, 524289, F2, 8, 4) (dual of [(524289, 8), 4194273, 5]-NRT-code), using
- appending 4 arbitrary columns [i] based on linear OOA(239, 524289, F2, 4, 4) (dual of [(524289, 4), 2097117, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(239, 524289, F2, 3, 4) (dual of [(524289, 3), 1572828, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (35, 39, 524289)-net over F2, using
- appending kth column [i] based on linear OOA(239, 524289, F2, 3, 4) (dual of [(524289, 3), 1572828, 5]-NRT-code), using
- appending 4 arbitrary columns [i] based on linear OOA(239, 524289, F2, 4, 4) (dual of [(524289, 4), 2097117, 5]-NRT-code), using
- linear OOA(2116, 4194301, F2, 8, 9) (dual of [(4194301, 8), 33554292, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2116, large, F2, 2, 9), using
- linear OOA(239, 524289, F2, 8, 4) (dual of [(524289, 8), 4194273, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- appending kth column [i] based on linear OOA(2155, 4718590, F2, 8, 9) (dual of [(4718590, 8), 37748565, 10]-NRT-code), using
(146, 155, large)-Net over F2 — Digital
Digital (146, 155, large)-net over F2, using
- 23 times duplication [i] based on digital (143, 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
(146, 155, large)-Net in Base 2 — Upper bound on s
There is no (146, 155, large)-net in base 2, because
- 7 times m-reduction [i] would yield (146, 148, large)-net in base 2, but