Best Known (58−51, 58, s)-Nets in Base 32
(58−51, 58, 98)-Net over F32 — Constructive and digital
Digital (7, 58, 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
(58−51, 58, 874)-Net in Base 32 — Upper bound on s
There is no (7, 58, 875)-net in base 32, because
- 1 times m-reduction [i] would yield (7, 57, 875)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 63 220735 771724 860684 660774 421138 572983 376371 120100 313582 193523 605841 293408 174689 940036 > 3257 [i]