Best Known (20−13, 20, s)-Nets in Base 32
(20−13, 20, 98)-Net over F32 — Constructive and digital
Digital (7, 20, 98)-net over F32, using
- net from sequence [i] based on digital (7, 97)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98, using
(20−13, 20, 150)-Net in Base 32 — Constructive
(7, 20, 150)-net in base 32, using
- 1 times m-reduction [i] based on (7, 21, 150)-net in base 32, using
- base change [i] based on digital (1, 15, 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
- base change [i] based on digital (1, 15, 150)-net over F128, using
(20−13, 20, 5635)-Net in Base 32 — Upper bound on s
There is no (7, 20, 5636)-net in base 32, because
- 1 times m-reduction [i] would yield (7, 19, 5636)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 39619 451550 914508 356777 730688 > 3219 [i]