Best Known (20, 20+40, s)-Nets in Base 81
(20, 20+40, 370)-Net over F81 — Constructive and digital
Digital (20, 60, 370)-net over F81, using
- t-expansion [i] based on digital (16, 60, 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
(20, 20+40, 55156)-Net in Base 81 — Upper bound on s
There is no (20, 60, 55157)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 3 230152 728327 040527 546872 589798 307337 242803 121211 817659 980991 952546 898983 596483 493591 662079 822397 672234 844685 819201 > 8160 [i]