Best Known (28−19, 28, s)-Nets in Base 32
(28−19, 28, 104)-Net over F32 — Constructive and digital
Digital (9, 28, 104)-net over F32, using
- net from sequence [i] based on digital (9, 103)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 9 and N(F) ≥ 104, using
(28−19, 28, 108)-Net over F32 — Digital
Digital (9, 28, 108)-net over F32, using
- net from sequence [i] based on digital (9, 107)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 9 and N(F) ≥ 108, using
(28−19, 28, 150)-Net in Base 32 — Constructive
(9, 28, 150)-net in base 32, using
- base change [i] based on digital (1, 20, 150)-net over F128, using
- net from sequence [i] based on digital (1, 149)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- net from sequence [i] based on digital (1, 149)-sequence over F128, using
(28−19, 28, 4379)-Net in Base 32 — Upper bound on s
There is no (9, 28, 4380)-net in base 32, because
- 1 times m-reduction [i] would yield (9, 27, 4380)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 43609 894327 014402 405711 325603 766520 221687 > 3227 [i]