Best Known (71−58, 71, s)-Nets in Base 128
(71−58, 71, 288)-Net over F128 — Constructive and digital
Digital (13, 71, 288)-net over F128, using
- t-expansion [i] based on digital (9, 71, 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
(71−58, 71, 321)-Net over F128 — Digital
Digital (13, 71, 321)-net over F128, using
- t-expansion [i] based on digital (12, 71, 321)-net over F128, using
- net from sequence [i] based on digital (12, 320)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 12 and N(F) ≥ 321, using
- net from sequence [i] based on digital (12, 320)-sequence over F128, using
(71−58, 71, 13239)-Net in Base 128 — Upper bound on s
There is no (13, 71, 13240)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 409303 399689 254678 572150 225109 221704 798660 837634 961610 703652 722589 359197 279220 279507 127822 877704 316097 811208 801265 444043 116746 205709 101778 612897 974476 > 12871 [i]