Best Known (83−76, 83, s)-Nets in Base 32
(83−76, 83, 98)-Net over F32 — Constructive and digital
Digital (7, 83, 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
(83−76, 83, 872)-Net in Base 32 — Upper bound on s
There is no (7, 83, 873)-net in base 32, because
- 22 times m-reduction [i] would yield (7, 61, 873)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 66 281141 566548 915747 791880 781514 220426 768342 685737 888103 389111 175123 374511 202159 976610 559968 > 3261 [i]