Best Known (34, 72, s)-Nets in Base 128
(34, 72, 504)-Net over F128 — Constructive and digital
Digital (34, 72, 504)-net over F128, using
- 2 times m-reduction [i] based on digital (34, 74, 504)-net over F128, using
- (u, u+v)-construction [i] based on
- digital (5, 25, 216)-net over F128, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
- digital (9, 49, 288)-net over F128, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
- digital (5, 25, 216)-net over F128, using
- (u, u+v)-construction [i] based on
(34, 72, 547)-Net in Base 128 — Constructive
(34, 72, 547)-net in base 128, using
- t-expansion [i] based on (33, 72, 547)-net in base 128, using
- (u, u+v)-construction [i] based on
- (5, 24, 259)-net in base 128, using
- base change [i] based on digital (2, 21, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
- base change [i] based on digital (2, 21, 259)-net over F256, using
- digital (9, 48, 288)-net over F128, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
- (5, 24, 259)-net in base 128, using
- (u, u+v)-construction [i] based on
(34, 72, 1473)-Net over F128 — Digital
Digital (34, 72, 1473)-net over F128, using
(34, 72, 6034313)-Net in Base 128 — Upper bound on s
There is no (34, 72, 6034314)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 52 374367 169921 838170 848195 968997 351455 979700 911737 817900 060639 506485 291514 799620 117304 858114 077578 978294 464812 160374 438283 106672 975934 271464 936503 404768 > 12872 [i]