Best Known (15, 15+65, s)-Nets in Base 32
(15, 15+65, 120)-Net over F32 — Constructive and digital
Digital (15, 80, 120)-net over F32, using
- t-expansion [i] based on digital (11, 80, 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
(15, 15+65, 158)-Net over F32 — Digital
Digital (15, 80, 158)-net over F32, using
- net from sequence [i] based on digital (15, 157)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 15 and N(F) ≥ 158, using
(15, 15+65, 2128)-Net in Base 32 — Upper bound on s
There is no (15, 80, 2129)-net in base 32, because
- 1 times m-reduction [i] would yield (15, 79, 2129)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 81723 263892 457208 828978 106153 846125 200593 294009 884827 890158 413903 955861 052350 103113 510515 651094 453578 866707 922528 499026 > 3279 [i]