Best Known (5, 27, s)-Nets in Base 81
(5, 27, 160)-Net over F81 — Constructive and digital
Digital (5, 27, 160)-net over F81, using
- net from sequence [i] based on digital (5, 159)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 5 and N(F) ≥ 160, using
(5, 27, 167)-Net over F81 — Digital
Digital (5, 27, 167)-net over F81, using
- net from sequence [i] based on digital (5, 166)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 5 and N(F) ≥ 167, using
(5, 27, 2962)-Net in Base 81 — Upper bound on s
There is no (5, 27, 2963)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 3389 652874 855214 812378 438859 436541 440204 865936 239441 > 8127 [i]