Best Known (23, 95, s)-Nets in Base 16
(23, 95, 65)-Net over F16 — Constructive and digital
Digital (23, 95, 65)-net over F16, using
- t-expansion [i] based on digital (6, 95, 65)-net over F16, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
(23, 95, 129)-Net over F16 — Digital
Digital (23, 95, 129)-net over F16, using
- t-expansion [i] based on digital (19, 95, 129)-net over F16, using
- net from sequence [i] based on digital (19, 128)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 19 and N(F) ≥ 129, using
- net from sequence [i] based on digital (19, 128)-sequence over F16, using
(23, 95, 1412)-Net in Base 16 — Upper bound on s
There is no (23, 95, 1413)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 2 464750 149449 004539 759135 530735 657749 188485 052376 308754 575679 514845 750519 800715 285278 682616 210648 468760 888935 765396 > 1695 [i]