Best Known (59−52, 59, s)-Nets in Base 128
(59−52, 59, 216)-Net over F128 — Constructive and digital
Digital (7, 59, 216)-net over F128, using
- t-expansion [i] based on digital (5, 59, 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
(59−52, 59, 262)-Net over F128 — Digital
Digital (7, 59, 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
(59−52, 59, 5013)-Net in Base 128 — Upper bound on s
There is no (7, 59, 5014)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 21214 448525 669658 875583 336447 541222 251676 025370 761713 307591 633137 035545 915429 021174 475790 797500 792352 466869 096831 710339 157472 > 12859 [i]