Best Known (16, 16+20, s)-Nets in Base 81
(16, 16+20, 370)-Net over F81 — Constructive and digital
Digital (16, 36, 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
(16, 16+20, 419)-Net over F81 — Digital
Digital (16, 36, 419)-net over F81, using
(16, 16+20, 420172)-Net in Base 81 — Upper bound on s
There is no (16, 36, 420173)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 507 535069 510431 276110 891103 216064 867079 116423 918669 491602 935550 826401 > 8136 [i]