Best Known (60−49, 60, s)-Nets in Base 27
(60−49, 60, 96)-Net over F27 — Constructive and digital
Digital (11, 60, 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
(60−49, 60, 100)-Net over F27 — Digital
Digital (11, 60, 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
(60−49, 60, 1232)-Net in Base 27 — Upper bound on s
There is no (11, 60, 1233)-net in base 27, because
- 1 times m-reduction [i] would yield (11, 59, 1233)-net in base 27, but
- the generalized Rao bound for nets shows that 27m ≥ 2 844630 562689 338375 771659 355223 428370 568835 167327 407087 318803 976745 626851 104449 634977 > 2759 [i]