Best Known (14, 14+43, s)-Nets in Base 8
(14, 14+43, 65)-Net over F8 — Constructive and digital
Digital (14, 57, 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
(14, 14+43, 304)-Net in Base 8 — Upper bound on s
There is no (14, 57, 305)-net in base 8, because
- 1 times m-reduction [i] would yield (14, 56, 305)-net in base 8, but
- the generalized Rao bound for nets shows that 8m ≥ 384 602208 684820 637688 966251 241424 581310 447599 650656 > 856 [i]