Best Known (4, 16, s)-Nets in Base 128
(4, 16, 192)-Net over F128 — Constructive and digital
Digital (4, 16, 192)-net over F128, using
- t-expansion [i] based on digital (3, 16, 192)-net over F128, using
- net from sequence [i] based on digital (3, 191)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- net from sequence [i] based on digital (3, 191)-sequence over F128, using
(4, 16, 215)-Net over F128 — Digital
Digital (4, 16, 215)-net over F128, using
- net from sequence [i] based on digital (4, 214)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 4 and N(F) ≥ 215, using
(4, 16, 259)-Net in Base 128 — Constructive
(4, 16, 259)-net in base 128, using
- base change [i] based on digital (2, 14, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
(4, 16, 321)-Net in Base 128
(4, 16, 321)-net in base 128, using
- base change [i] based on digital (2, 14, 321)-net over F256, using
- net from sequence [i] based on digital (2, 320)-sequence over F256, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321, using
- net from sequence [i] based on digital (2, 320)-sequence over F256, using
(4, 16, 9806)-Net in Base 128 — Upper bound on s
There is no (4, 16, 9807)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 5192 584414 415867 173631 760954 864395 > 12816 [i]