Best Known (97−48, 97, s)-Nets in Base 16
(97−48, 97, 514)-Net over F16 — Constructive and digital
Digital (49, 97, 514)-net over F16, using
- 1 times m-reduction [i] based on digital (49, 98, 514)-net over F16, using
- trace code for nets [i] based on digital (0, 49, 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, 49, 257)-net over F256, using
(97−48, 97, 48062)-Net in Base 16 — Upper bound on s
There is no (49, 97, 48063)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 630 646321 806500 576058 066431 012089 647437 907937 583919 039680 219828 280738 153540 276969 444962 510814 288353 908898 083465 188781 > 1697 [i]