Best Known (72−55, 72, s)-Nets in Base 9
(72−55, 72, 74)-Net over F9 — Constructive and digital
Digital (17, 72, 74)-net over F9, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
(72−55, 72, 424)-Net in Base 9 — Upper bound on s
There is no (17, 72, 425)-net in base 9, because
- 1 times m-reduction [i] would yield (17, 71, 425)-net in base 9, but
- the generalized Rao bound for nets shows that 9m ≥ 56 431796 720795 615772 286340 817072 795644 785382 316199 195227 850032 986457 > 971 [i]