Best Known (151, 211, s)-Nets in Base 2
(151, 211, 138)-Net over F2 — Constructive and digital
Digital (151, 211, 138)-net over F2, using
- 21 times duplication [i] based on digital (150, 210, 138)-net over F2, using
- trace code for nets [i] based on digital (10, 70, 46)-net over F8, using
- net from sequence [i] based on digital (10, 45)-sequence over F8, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F8 with g(F) = 9, N(F) = 45, and 1 place with degree 2 [i] based on function field F/F8 with g(F) = 9 and N(F) ≥ 45, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (10, 45)-sequence over F8, using
- trace code for nets [i] based on digital (10, 70, 46)-net over F8, using
(151, 211, 212)-Net over F2 — Digital
Digital (151, 211, 212)-net over F2, using
(151, 211, 1533)-Net in Base 2 — Upper bound on s
There is no (151, 211, 1534)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 3303 759532 603530 397541 546268 047091 682720 973866 740983 359703 940984 > 2211 [i]