Best Known (13, 66, s)-Nets in Base 32
(13, 66, 120)-Net over F32 — Constructive and digital
Digital (13, 66, 120)-net over F32, using
- t-expansion [i] based on digital (11, 66, 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
(13, 66, 129)-Net over F32 — Digital
Digital (13, 66, 129)-net over F32, using
- t-expansion [i] based on digital (12, 66, 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
- net from sequence [i] based on digital (12, 128)-sequence over F32, using
(13, 66, 1958)-Net in Base 32 — Upper bound on s
There is no (13, 66, 1959)-net in base 32, because
- 1 times m-reduction [i] would yield (13, 65, 1959)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 69 054352 029831 386231 726622 630902 710269 083276 906243 251700 384332 112917 747921 794166 277575 581910 479100 > 3265 [i]