Best Known (17, 17+30, s)-Nets in Base 81
(17, 17+30, 370)-Net over F81 — Constructive and digital
Digital (17, 47, 370)-net over F81, using
- t-expansion [i] based on digital (16, 47, 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
(17, 17+30, 76657)-Net in Base 81 — Upper bound on s
There is no (17, 47, 76658)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 499831 030429 671302 576504 578784 026231 159224 256572 085248 373609 213282 563670 198108 446524 981601 > 8147 [i]