Best Known (16, 70, s)-Nets in Base 64
(16, 70, 177)-Net over F64 — Constructive and digital
Digital (16, 70, 177)-net over F64, using
- t-expansion [i] based on digital (7, 70, 177)-net over F64, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
(16, 70, 216)-Net in Base 64 — Constructive
(16, 70, 216)-net in base 64, using
- 7 times m-reduction [i] based on (16, 77, 216)-net in base 64, using
- base change [i] based on digital (5, 66, 216)-net over F128, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
- base change [i] based on digital (5, 66, 216)-net over F128, using
(16, 70, 267)-Net over F64 — Digital
Digital (16, 70, 267)-net over F64, using
- net from sequence [i] based on digital (16, 266)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 16 and N(F) ≥ 267, using
(16, 70, 8337)-Net in Base 64 — Upper bound on s
There is no (16, 70, 8338)-net in base 64, because
- the generalized Rao bound for nets shows that 64m ≥ 2 708612 080943 470052 262473 919957 099426 707435 924034 141871 747885 994933 139697 559983 281355 145611 696942 866574 894852 776971 931919 326784 > 6470 [i]