Best Known (98−82, 98, s)-Nets in Base 27
(98−82, 98, 96)-Net over F27 — Constructive and digital
Digital (16, 98, 96)-net over F27, using
- t-expansion [i] based on digital (11, 98, 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
(98−82, 98, 144)-Net over F27 — Digital
Digital (16, 98, 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
(98−82, 98, 1616)-Net in Base 27 — Upper bound on s
There is no (16, 98, 1617)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 191 398665 525402 589609 515531 106853 484417 729406 033567 324123 535168 922053 330700 626788 488213 422986 315626 076016 050565 952272 797154 418259 366633 600859 > 2798 [i]