Best Known (58−46, 58, s)-Nets in Base 32
(58−46, 58, 120)-Net over F32 — Constructive and digital
Digital (12, 58, 120)-net over F32, using
- t-expansion [i] based on digital (11, 58, 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
(58−46, 58, 129)-Net over F32 — Digital
Digital (12, 58, 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
(58−46, 58, 1887)-Net in Base 32 — Upper bound on s
There is no (12, 58, 1888)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 1989 373979 334606 302243 144634 528659 637229 058225 334979 598895 310164 194436 143133 500914 845247 > 3258 [i]