Best Known (72−69, 72, s)-Nets in Base 32
(72−69, 72, 64)-Net over F32 — Constructive and digital
Digital (3, 72, 64)-net over F32, using
- net from sequence [i] based on digital (3, 63)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
(72−69, 72, 409)-Net in Base 32 — Upper bound on s
There is no (3, 72, 410)-net in base 32, because
- 45 times m-reduction [i] would yield (3, 27, 410)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 44001 097275 672697 324579 257158 057704 275468 > 3227 [i]