Best Known (19−14, 19, s)-Nets in Base 81
(19−14, 19, 160)-Net over F81 — Constructive and digital
Digital (5, 19, 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
(19−14, 19, 167)-Net over F81 — Digital
Digital (5, 19, 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
(19−14, 19, 6394)-Net in Base 81 — Upper bound on s
There is no (5, 19, 6395)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 1 826208 797157 673755 733190 270822 205201 > 8119 [i]