Best Known (115−24, 115, s)-Nets in Base 2
(115−24, 115, 195)-Net over F2 — Constructive and digital
Digital (91, 115, 195)-net over F2, using
- 21 times duplication [i] based on digital (90, 114, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 38, 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
- trace code for nets [i] based on digital (14, 38, 65)-net over F8, using
(115−24, 115, 302)-Net over F2 — Digital
Digital (91, 115, 302)-net over F2, using
(115−24, 115, 4039)-Net in Base 2 — Upper bound on s
There is no (91, 115, 4040)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 41564 428037 039659 431690 633714 782088 > 2115 [i]