Best Known (23−20, 23, s)-Nets in Base 64
(23−20, 23, 104)-Net over F64 — Constructive and digital
Digital (3, 23, 104)-net over F64, using
- net from sequence [i] based on digital (3, 103)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
(23−20, 23, 113)-Net over F64 — Digital
Digital (3, 23, 113)-net over F64, using
- net from sequence [i] based on digital (3, 112)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 113, using
(23−20, 23, 1020)-Net in Base 64 — Upper bound on s
There is no (3, 23, 1021)-net in base 64, because
- the generalized Rao bound for nets shows that 64m ≥ 349664 267962 667445 584038 897266 489888 906526 > 6423 [i]