Best Known (7, 7+60, s)-Nets in Base 128
(7, 7+60, 216)-Net over F128 — Constructive and digital
Digital (7, 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
(7, 7+60, 262)-Net over F128 — Digital
Digital (7, 67, 262)-net over F128, using
- net from sequence [i] based on digital (7, 261)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 7 and N(F) ≥ 262, using
(7, 7+60, 4805)-Net in Base 128 — Upper bound on s
There is no (7, 67, 4806)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 1526 967093 553517 542045 687881 363656 612656 273393 312411 382558 643369 250092 212593 751879 108749 435780 774118 275102 930927 438433 025590 793924 420084 015200 > 12867 [i]