Best Known (129, 129+10, s)-Nets in Base 2
(129, 129+10, 4194301)-Net over F2 — Constructive and digital
Digital (129, 139, 4194301)-net over F2, using
- 1 times m-reduction [i] based on 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
(129, 129+10, 8388602)-Net over F2 — Digital
Digital (129, 139, 8388602)-net over F2, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2139, 8388602, F2, 3, 10) (dual of [(8388602, 3), 25165667, 11]-NRT-code), using
- 1 step truncation [i] based on linear OOA(2140, large, F2, 3, 11), using
(129, 129+10, large)-Net in Base 2 — Upper bound on s
There is no (129, 139, large)-net in base 2, because
- 8 times m-reduction [i] would yield (129, 131, large)-net in base 2, but