Best Known (72−61, 72, s)-Nets in Base 32
(72−61, 72, 120)-Net over F32 — Constructive and digital
Digital (11, 72, 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
(72−61, 72, 1402)-Net in Base 32 — Upper bound on s
There is no (11, 72, 1403)-net in base 32, because
- 1 times m-reduction [i] would yield (11, 71, 1403)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 74377 047820 103239 813550 622233 794832 163117 472310 273572 825543 060836 585652 732655 270956 988776 843162 574301 667256 > 3271 [i]