Best Known (56−49, 56, s)-Nets in Base 32
(56−49, 56, 98)-Net over F32 — Constructive and digital
Digital (7, 56, 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
(56−49, 56, 877)-Net in Base 32 — Upper bound on s
There is no (7, 56, 878)-net in base 32, because
- 1 times m-reduction [i] would yield (7, 55, 878)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 61391 875809 416887 837185 081748 095255 655086 764099 625036 193355 626513 850863 318517 612674 > 3255 [i]