Best Known (70−46, 70, s)-Nets in Base 128
(70−46, 70, 288)-Net over F128 — Constructive and digital
Digital (24, 70, 288)-net over F128, using
- t-expansion [i] based on digital (9, 70, 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
(70−46, 70, 513)-Net over F128 — Digital
Digital (24, 70, 513)-net over F128, using
- net from sequence [i] based on digital (24, 512)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 24 and N(F) ≥ 513, using
(70−46, 70, 192253)-Net in Base 128 — Upper bound on s
There is no (24, 70, 192254)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 3196 729571 146085 810289 644821 990123 704930 871209 508273 287671 334848 344822 598005 940964 671850 502671 183359 874462 486018 247333 815188 357845 628102 697303 069420 > 12870 [i]