Best Known (80−64, 80, s)-Nets in Base 27
(80−64, 80, 96)-Net over F27 — Constructive and digital
Digital (16, 80, 96)-net over F27, using
- t-expansion [i] based on digital (11, 80, 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
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
(80−64, 80, 144)-Net over F27 — Digital
Digital (16, 80, 144)-net over F27, using
- net from sequence [i] based on digital (16, 143)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 16 and N(F) ≥ 144, using
(80−64, 80, 1846)-Net in Base 27 — Upper bound on s
There is no (16, 80, 1847)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 3 243303 858766 335448 874749 923314 707300 663677 590406 069936 545104 343893 378908 657023 533411 597466 266988 310797 894050 007745 > 2780 [i]