Best Known (30−24, 30, s)-Nets in Base 32
(30−24, 30, 76)-Net over F32 — Constructive and digital
Digital (6, 30, 76)-net over F32, using
- t-expansion [i] based on digital (5, 30, 76)-net over F32, using
- net from sequence [i] based on digital (5, 75)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 5 and N(F) ≥ 76, using
- net from sequence [i] based on digital (5, 75)-sequence over F32, using
(30−24, 30, 80)-Net in Base 32 — Constructive
(6, 30, 80)-net in base 32, using
- base change [i] based on digital (1, 25, 80)-net over F64, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
(30−24, 30, 86)-Net over F32 — Digital
Digital (6, 30, 86)-net over F32, using
- net from sequence [i] based on digital (6, 85)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 6 and N(F) ≥ 86, using
(30−24, 30, 982)-Net in Base 32 — Upper bound on s
There is no (6, 30, 983)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 1437 872768 609366 768380 579058 033012 539178 977374 > 3230 [i]