Best Known (240−46, 240, s)-Nets in Base 2
(240−46, 240, 272)-Net over F2 — Constructive and digital
Digital (194, 240, 272)-net over F2, using
- (u, u+v)-construction [i] based on
- digital (9, 32, 12)-net over F2, using
- net from sequence [i] based on digital (9, 11)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 9 and N(F) ≥ 12, using
- Niederreiter–Xing sequence (Piršić implementation) with equidistant coordinate [i]
- net from sequence [i] based on digital (9, 11)-sequence over F2, using
- digital (162, 208, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 52, 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, 52, 65)-net over F16, using
- digital (9, 32, 12)-net over F2, using
(240−46, 240, 690)-Net over F2 — Digital
Digital (194, 240, 690)-net over F2, using
(240−46, 240, 13016)-Net in Base 2 — Upper bound on s
There is no (194, 240, 13017)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 1 767184 189364 077345 496738 980850 720664 289740 579463 318219 615280 914034 996480 > 2240 [i]