Best Known (8, 35, s)-Nets in Base 81
(8, 35, 172)-Net over F81 — Constructive and digital
Digital (8, 35, 172)-net over F81, using
- t-expansion [i] based on digital (7, 35, 172)-net over F81, using
- net from sequence [i] based on digital (7, 171)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- net from sequence [i] based on digital (7, 171)-sequence over F81, using
(8, 35, 226)-Net over F81 — Digital
Digital (8, 35, 226)-net over F81, using
- net from sequence [i] based on digital (8, 225)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 8 and N(F) ≥ 226, using
(8, 35, 6939)-Net in Base 81 — Upper bound on s
There is no (8, 35, 6940)-net in base 81, because
- 1 times m-reduction [i] would yield (8, 34, 6940)-net in base 81, but
- the generalized Rao bound for nets shows that 81m ≥ 77370 034030 275436 127530 526337 026062 889741 164760 516226 934083 761601 > 8134 [i]