Best Known (18, 46, s)-Nets in Base 81
(18, 46, 370)-Net over F81 — Constructive and digital
Digital (18, 46, 370)-net over F81, using
- t-expansion [i] based on digital (16, 46, 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
(18, 46, 140956)-Net in Base 81 — Upper bound on s
There is no (18, 46, 140957)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 6170 956032 542933 982175 413520 652655 862437 479435 234091 366598 681418 839119 936496 869321 091041 > 8146 [i]