Best Known (120−60, 120, s)-Nets in Base 16
(120−60, 120, 514)-Net over F16 — Constructive and digital
Digital (60, 120, 514)-net over F16, using
- trace code for nets [i] based on digital (0, 60, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
(120−60, 120, 52606)-Net in Base 16 — Upper bound on s
There is no (60, 120, 52607)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 3 122261 449173 461551 057639 130404 237884 087396 213110 561209 400379 531781 021617 568175 085166 669557 354574 442765 575434 454453 833456 021637 210837 407442 536151 > 16120 [i]