Best Known (66, 148, s)-Nets in Base 8
(66, 148, 113)-Net over F8 — Constructive and digital
Digital (66, 148, 113)-net over F8, using
- (u, u+v)-construction [i] based on
- digital (11, 52, 48)-net over F8, using
- net from sequence [i] based on digital (11, 47)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 11 and N(F) ≥ 48, using
- net from sequence [i] based on digital (11, 47)-sequence over F8, using
- digital (14, 96, 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
- digital (11, 52, 48)-net over F8, using
(66, 148, 160)-Net over F8 — Digital
Digital (66, 148, 160)-net over F8, using
(66, 148, 161)-Net in Base 8
(66, 148, 161)-net in base 8, using
- base change [i] based on digital (29, 111, 161)-net over F16, using
- net from sequence [i] based on digital (29, 160)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 29 and N(F) ≥ 161, using
- net from sequence [i] based on digital (29, 160)-sequence over F16, using
(66, 148, 4169)-Net in Base 8 — Upper bound on s
There is no (66, 148, 4170)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 45 712341 652721 277987 376895 087919 453109 502409 412146 887509 029694 063102 700352 308622 851018 378190 184502 308005 902422 239221 755004 718643 093170 > 8148 [i]