Best Known (106, 138, s)-Nets in Base 2
(106, 138, 195)-Net over F2 — Constructive and digital
Digital (106, 138, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 46, 65)-net over F8, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
(106, 138, 252)-Net over F2 — Digital
Digital (106, 138, 252)-net over F2, using
(106, 138, 2661)-Net in Base 2 — Upper bound on s
There is no (106, 138, 2662)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 349576 812744 592753 358358 537305 033183 943354 > 2138 [i]