Best Known (7, 7+21, s)-Nets in Base 32
(7, 7+21, 98)-Net over F32 — Constructive and digital
Digital (7, 28, 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+21, 1687)-Net in Base 32 — Upper bound on s
There is no (7, 28, 1688)-net in base 32, because
- 1 times m-reduction [i] would yield (7, 27, 1688)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 43647 545010 641698 450910 524375 153954 488978 > 3227 [i]