Best Known (10, 74, s)-Nets in Base 128
(10, 74, 288)-Net over F128 — Constructive and digital
Digital (10, 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
(10, 74, 296)-Net over F128 — Digital
Digital (10, 74, 296)-net over F128, using
- net from sequence [i] based on digital (10, 295)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 10 and N(F) ≥ 296, using
(10, 74, 7500)-Net in Base 128 — Upper bound on s
There is no (10, 74, 7501)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 860008 833791 320237 415427 832286 020487 438535 237420 705698 519072 605333 833249 670088 879954 652330 723666 129826 094018 449318 809748 366308 936674 168016 815389 953775 886166 > 12874 [i]