Best Known (260−54, 260, s)-Nets in Base 2
(260−54, 260, 260)-Net over F2 — Constructive and digital
Digital (206, 260, 260)-net over F2, using
- t-expansion [i] based on digital (201, 260, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 65, 65)-net over F16, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- trace code for nets [i] based on digital (6, 65, 65)-net over F16, using
(260−54, 260, 577)-Net over F2 — Digital
Digital (206, 260, 577)-net over F2, using
(260−54, 260, 8614)-Net in Base 2 — Upper bound on s
There is no (206, 260, 8615)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 1 858291 483644 972167 406849 752035 357550 924705 885028 276054 400043 354692 064780 235096 > 2260 [i]