Best Known (67−58, 67, s)-Nets in Base 27
(67−58, 67, 88)-Net over F27 — Constructive and digital
Digital (9, 67, 88)-net over F27, using
- net from sequence [i] based on digital (9, 87)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 88, using
(67−58, 67, 99)-Net over F27 — Digital
Digital (9, 67, 99)-net over F27, using
- net from sequence [i] based on digital (9, 98)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 99, using
(67−58, 67, 895)-Net in Base 27 — Upper bound on s
There is no (9, 67, 896)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 821375 530272 789934 360595 657680 521919 368550 013766 933902 314203 524658 819492 232830 956784 388929 917697 > 2767 [i]