Best Known (12, 12+43, s)-Nets in Base 32
(12, 12+43, 120)-Net over F32 — Constructive and digital
Digital (12, 55, 120)-net over F32, using
- t-expansion [i] based on digital (11, 55, 120)-net over F32, using
- net from sequence [i] based on digital (11, 119)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- net from sequence [i] based on digital (11, 119)-sequence over F32, using
(12, 12+43, 129)-Net over F32 — Digital
Digital (12, 55, 129)-net over F32, using
- net from sequence [i] based on digital (12, 128)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 12 and N(F) ≥ 129, using
(12, 12+43, 2066)-Net in Base 32 — Upper bound on s
There is no (12, 55, 2067)-net in base 32, because
- 1 times m-reduction [i] would yield (12, 54, 2067)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 1902 561544 935397 780823 093376 721422 276341 563959 119972 751601 551755 539556 878188 819456 > 3254 [i]