Best Known (71−60, 71, s)-Nets in Base 27
(71−60, 71, 96)-Net over F27 — Constructive and digital
Digital (11, 71, 96)-net over F27, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96, using
(71−60, 71, 100)-Net over F27 — Digital
Digital (11, 71, 100)-net over F27, using
- net from sequence [i] based on digital (11, 99)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 100, using
(71−60, 71, 1115)-Net in Base 27 — Upper bound on s
There is no (11, 71, 1116)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 432904 542716 500127 233259 261765 348619 786326 807159 976027 524493 110746 500377 068505 552116 880814 659827 333225 > 2771 [i]