Best Known (73−57, 73, s)-Nets in Base 81
(73−57, 73, 370)-Net over F81 — Constructive and digital
Digital (16, 73, 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
(73−57, 73, 11400)-Net in Base 81 — Upper bound on s
There is no (16, 73, 11401)-net in base 81, because
- 1 times m-reduction [i] would yield (16, 72, 11401)-net in base 81, but
- the generalized Rao bound for nets shows that 81m ≥ 257953 349601 213851 349712 637410 792460 526047 028409 489484 743823 617153 970396 752025 137109 608464 252000 994520 960971 903647 319380 975553 081870 389441 > 8172 [i]