Best Known (7, 7+53, s)-Nets in Base 32
(7, 7+53, 98)-Net over F32 — Constructive and digital
Digital (7, 60, 98)-net over F32, using
- net from sequence [i] based on digital (7, 97)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98, using
(7, 7+53, 872)-Net in Base 32 — Upper bound on s
There is no (7, 60, 873)-net in base 32, because
- 1 times m-reduction [i] would yield (7, 59, 873)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 64094 281859 110940 602401 195563 586782 702393 578409 908510 224100 367360 375501 924633 951592 650704 > 3259 [i]