Best Known (107, 145, s)-Nets in Base 2
(107, 145, 138)-Net over F2 — Constructive and digital
Digital (107, 145, 138)-net over F2, using
- 21 times duplication [i] based on digital (106, 144, 138)-net over F2, using
- trace code for nets [i] based on digital (10, 48, 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, 48, 46)-net over F8, using
(107, 145, 192)-Net over F2 — Digital
Digital (107, 145, 192)-net over F2, using
(107, 145, 1544)-Net in Base 2 — Upper bound on s
There is no (107, 145, 1545)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 44 830380 327986 830928 756787 990020 233222 743808 > 2145 [i]