Best Known (139, 245, s)-Nets in Base 2
(139, 245, 67)-Net over F2 — Constructive and digital
Digital (139, 245, 67)-net over F2, using
- 4 times m-reduction [i] based on digital (139, 249, 67)-net over F2, using
- (u, u+v)-construction [i] based on
- digital (39, 94, 33)-net over F2, using
- net from sequence [i] based on digital (39, 32)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
- net from sequence [i] based on digital (39, 32)-sequence over F2, using
- digital (45, 155, 34)-net over F2, using
- net from sequence [i] based on digital (45, 33)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 41, N(F) = 32, 1 place with degree 2, and 1 place with degree 4 [i] based on function field F/F2 with g(F) = 41 and N(F) ≥ 32, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (45, 33)-sequence over F2, using
- digital (39, 94, 33)-net over F2, using
- (u, u+v)-construction [i] based on
(139, 245, 92)-Net over F2 — Digital
Digital (139, 245, 92)-net over F2, using
(139, 245, 433)-Net in Base 2 — Upper bound on s
There is no (139, 245, 434)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 59 075508 330594 494903 282206 932116 990504 956019 031979 776737 659233 806268 141264 > 2245 [i]