Best Known (23, 66, s)-Nets in Base 8
(23, 66, 65)-Net over F8 — Constructive and digital
Digital (23, 66, 65)-net over F8, using
- t-expansion [i] based on digital (14, 66, 65)-net over F8, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
(23, 66, 76)-Net over F8 — Digital
Digital (23, 66, 76)-net over F8, using
- t-expansion [i] based on digital (20, 66, 76)-net over F8, using
- net from sequence [i] based on digital (20, 75)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 20 and N(F) ≥ 76, using
- net from sequence [i] based on digital (20, 75)-sequence over F8, using
(23, 66, 760)-Net in Base 8 — Upper bound on s
There is no (23, 66, 761)-net in base 8, because
- 1 times m-reduction [i] would yield (23, 65, 761)-net in base 8, but
- the generalized Rao bound for nets shows that 8m ≥ 50289 735682 384757 518289 694514 265189 706778 486944 983920 800792 > 865 [i]