Best Known (72−62, 72, s)-Nets in Base 128
(72−62, 72, 288)-Net over F128 — Constructive and digital
Digital (10, 72, 288)-net over F128, using
- t-expansion [i] based on digital (9, 72, 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
(72−62, 72, 296)-Net over F128 — Digital
Digital (10, 72, 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
(72−62, 72, 7647)-Net in Base 128 — Upper bound on s
There is no (10, 72, 7648)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 52 441608 121822 332635 931102 470586 904623 354385 369523 827058 209268 811105 783233 938806 843901 041193 836954 554132 916073 141088 190683 946388 964330 887829 861895 263811 > 12872 [i]