Best Known (76−54, 76, s)-Nets in Base 81
(76−54, 76, 370)-Net over F81 — Constructive and digital
Digital (22, 76, 370)-net over F81, using
- t-expansion [i] based on digital (16, 76, 370)-net over F81, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
(76−54, 76, 32149)-Net in Base 81 — Upper bound on s
There is no (22, 76, 32150)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 11 096764 724266 892496 133327 825947 113512 456727 857747 284314 942571 187340 469924 154270 684937 129318 675421 789160 822378 834069 954931 718014 488780 546572 324001 > 8176 [i]