Best Known (31−26, 31, s)-Nets in Base 32
(31−26, 31, 76)-Net over F32 — Constructive and digital
Digital (5, 31, 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
(31−26, 31, 83)-Net over F32 — Digital
Digital (5, 31, 83)-net over F32, using
- net from sequence [i] based on digital (5, 82)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 5 and N(F) ≥ 83, using
(31−26, 31, 703)-Net in Base 32 — Upper bound on s
There is no (5, 31, 704)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 46026 367633 824699 901560 366030 425054 513832 479817 > 3231 [i]