Best Known (10, 10+66, s)-Nets in Base 128
(10, 10+66, 288)-Net over F128 — Constructive and digital
Digital (10, 76, 288)-net over F128, using
- t-expansion [i] based on digital (9, 76, 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+66, 296)-Net over F128 — Digital
Digital (10, 76, 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+66, 7371)-Net in Base 128 — Upper bound on s
There is no (10, 76, 7372)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 14083 656282 635069 403141 477307 784656 022204 565676 694791 782692 183546 120172 590523 255952 814640 829065 016873 889725 244183 417229 692857 384178 765485 198915 735146 064184 272706 > 12876 [i]