Best Known (6, 67, s)-Nets in Base 128
(6, 67, 216)-Net over F128 — Constructive and digital
Digital (6, 67, 216)-net over F128, using
- t-expansion [i] based on digital (5, 67, 216)-net over F128, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
(6, 67, 243)-Net over F128 — Digital
Digital (6, 67, 243)-net over F128, using
- net from sequence [i] based on digital (6, 242)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 6 and N(F) ≥ 243, using
(6, 67, 4085)-Net in Base 128 — Upper bound on s
There is no (6, 67, 4086)-net in base 128, because
- 1 times m-reduction [i] would yield (6, 66, 4086)-net in base 128, but
- the generalized Rao bound for nets shows that 128m ≥ 11 919962 516991 968976 777371 929513 638640 282964 522690 464600 479964 510899 173238 134923 055113 301115 981710 350644 923555 870842 083162 532300 242678 290928 > 12866 [i]