Best Known (75−60, 75, s)-Nets in Base 128
(75−60, 75, 288)-Net over F128 — Constructive and digital
Digital (15, 75, 288)-net over F128, using
- t-expansion [i] based on digital (9, 75, 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
(75−60, 75, 386)-Net over F128 — Digital
Digital (15, 75, 386)-net over F128, using
- net from sequence [i] based on digital (15, 385)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 15 and N(F) ≥ 386, using
(75−60, 75, 17564)-Net in Base 128 — Upper bound on s
There is no (15, 75, 17565)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 109 855159 336624 862926 011170 964883 453877 731426 944560 004966 710214 220365 653540 348375 592342 599660 939496 392008 360387 229717 794243 719360 033636 921571 790401 103590 380864 > 12875 [i]