Best Known (119−60, 119, s)-Nets in Base 16
(119−60, 119, 257)-Net over F16 — Constructive and digital
Digital (59, 119, 257)-net over F16, using
- base reduction for projective spaces (embedding PG(59,256) in PG(118,16)) 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
(119−60, 119, 397)-Net over F16 — Digital
Digital (59, 119, 397)-net over F16, using
(119−60, 119, 47961)-Net in Base 16 — Upper bound on s
There is no (59, 119, 47962)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 195198 866522 277765 128766 004321 219178 510319 022698 824270 222076 582887 357116 180763 712761 241515 581429 782223 683324 304040 445930 491278 292015 404848 767776 > 16119 [i]