Best Known (93−46, 93, s)-Nets in Base 16
(93−46, 93, 514)-Net over F16 — Constructive and digital
Digital (47, 93, 514)-net over F16, using
- 1 times m-reduction [i] based on digital (47, 94, 514)-net over F16, using
- trace code for nets [i] based on digital (0, 47, 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
- trace code for nets [i] based on digital (0, 47, 257)-net over F256, using
(93−46, 93, 46460)-Net in Base 16 — Upper bound on s
There is no (47, 93, 46461)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 9623 549324 205757 245918 414462 766386 258584 074212 784025 346725 444509 195132 769602 450356 029505 471265 168346 257597 165096 > 1693 [i]