Best Known (55, 121, s)-Nets in Base 16
(55, 121, 243)-Net over F16 — Constructive and digital
Digital (55, 121, 243)-net over F16, using
- t-expansion [i] based on digital (48, 121, 243)-net over F16, using
- net from sequence [i] based on digital (48, 242)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 48 and N(F) ≥ 243, using
- net from sequence [i] based on digital (48, 242)-sequence over F16, using
(55, 121, 273)-Net over F16 — Digital
Digital (55, 121, 273)-net over F16, using
- net from sequence [i] based on digital (55, 272)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 55 and N(F) ≥ 273, using
(55, 121, 22804)-Net in Base 16 — Upper bound on s
There is no (55, 121, 22805)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 49 974593 499356 221826 771634 613472 936881 516371 851739 026869 979287 907228 663974 238766 946047 622772 095893 173552 526916 606218 973276 433324 101415 624984 442976 > 16121 [i]