Best Known (16, 16+79, s)-Nets in Base 27
(16, 16+79, 96)-Net over F27 — Constructive and digital
Digital (16, 95, 96)-net over F27, using
- t-expansion [i] based on digital (11, 95, 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
(16, 16+79, 144)-Net over F27 — Digital
Digital (16, 95, 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
(16, 16+79, 1648)-Net in Base 27 — Upper bound on s
There is no (16, 95, 1649)-net in base 27, because
- 1 times m-reduction [i] would yield (16, 94, 1649)-net in base 27, but
- the generalized Rao bound for nets shows that 27m ≥ 358 659779 818173 042958 676213 457748 966294 874048 342645 587504 206100 225568 304669 005984 055859 048889 771765 856264 627972 175017 012472 461371 208819 > 2794 [i]