Best Known (22, 22+46, s)-Nets in Base 81
(22, 22+46, 370)-Net over F81 — Constructive and digital
Digital (22, 68, 370)-net over F81, using
- t-expansion [i] based on digital (16, 68, 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
(22, 22+46, 51730)-Net in Base 81 — Upper bound on s
There is no (22, 68, 51731)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 5984 454197 044699 423772 976665 482224 730182 557631 959026 774684 125403 102338 473119 247960 121560 539704 612176 245884 734004 811860 962550 980241 > 8168 [i]