Best Known (30, 91, s)-Nets in Base 64
(30, 91, 513)-Net over F64 — Constructive and digital
Digital (30, 91, 513)-net over F64, using
- t-expansion [i] based on digital (28, 91, 513)-net over F64, using
- net from sequence [i] based on digital (28, 512)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- the Hermitian function field over F64 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- net from sequence [i] based on digital (28, 512)-sequence over F64, using
(30, 91, 50102)-Net in Base 64 — Upper bound on s
There is no (30, 91, 50103)-net in base 64, because
- 1 times m-reduction [i] would yield (30, 90, 50103)-net in base 64, but
- the generalized Rao bound for nets shows that 64m ≥ 3 600492 761068 761097 330993 262062 551966 526339 135694 764160 543221 451895 758578 537460 331009 277633 819428 028973 344132 921742 873714 968908 947671 360382 412841 501414 784670 972964 > 6490 [i]