Best Known (10, 10+56, s)-Nets in Base 128
(10, 10+56, 288)-Net over F128 — Constructive and digital
Digital (10, 66, 288)-net over F128, using
- t-expansion [i] based on digital (9, 66, 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
(10, 10+56, 296)-Net over F128 — Digital
Digital (10, 66, 296)-net over F128, using
- net from sequence [i] based on digital (10, 295)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 10 and N(F) ≥ 296, using
(10, 10+56, 8231)-Net in Base 128 — Upper bound on s
There is no (10, 66, 8232)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 11 933230 371180 193174 958856 865450 042983 179548 491590 077933 374024 248018 151988 152016 622306 360228 226403 972181 987477 388799 228829 683517 881633 634796 > 12866 [i]