Best Known (13, 13+48, s)-Nets in Base 32
(13, 13+48, 120)-Net over F32 — Constructive and digital
Digital (13, 61, 120)-net over F32, using
- t-expansion [i] based on digital (11, 61, 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
(13, 13+48, 129)-Net over F32 — Digital
Digital (13, 61, 129)-net over F32, using
- t-expansion [i] based on digital (12, 61, 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
- net from sequence [i] based on digital (12, 128)-sequence over F32, using
(13, 13+48, 2104)-Net in Base 32 — Upper bound on s
There is no (13, 61, 2105)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 65 848893 942378 854068 215109 882426 759439 464675 359099 787232 903561 218081 097637 695702 012754 938491 > 3261 [i]