Best Known (9, 72, s)-Nets in Base 128
(9, 72, 288)-Net over F128 — Constructive and digital
Digital (9, 72, 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
(9, 72, 6537)-Net in Base 128 — Upper bound on s
There is no (9, 72, 6538)-net in base 128, because
- 1 times m-reduction [i] would yield (9, 71, 6538)-net in base 128, but
- the generalized Rao bound for nets shows that 128m ≥ 410229 204533 269064 431655 596484 917484 377484 757279 571907 183894 186473 347697 480989 660055 050841 307226 970205 049361 387836 299257 039315 637197 942710 879868 797120 > 12871 [i]