Best Known (14, 74, s)-Nets in Base 128
(14, 74, 288)-Net over F128 — Constructive and digital
Digital (14, 74, 288)-net over F128, using
- t-expansion [i] based on digital (9, 74, 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
(14, 74, 353)-Net over F128 — Digital
Digital (14, 74, 353)-net over F128, using
- net from sequence [i] based on digital (14, 352)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 14 and N(F) ≥ 353, using
(14, 74, 14939)-Net in Base 128 — Upper bound on s
There is no (14, 74, 14940)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 858641 518002 916840 732117 590795 031247 978111 371011 484371 142783 028101 210553 264988 080414 270069 607043 105068 881673 854790 851773 614889 142004 747443 062190 327433 888144 > 12874 [i]