Best Known (88−72, 88, s)-Nets in Base 27
(88−72, 88, 96)-Net over F27 — Constructive and digital
Digital (16, 88, 96)-net over F27, using
- t-expansion [i] based on digital (11, 88, 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
(88−72, 88, 144)-Net over F27 — Digital
Digital (16, 88, 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
(88−72, 88, 1713)-Net in Base 27 — Upper bound on s
There is no (16, 88, 1714)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 920029 150292 416884 886867 484485 214067 759604 133216 037834 005683 297267 691265 743608 722981 743698 423851 349853 893488 804658 032966 616425 > 2788 [i]