Best Known (15, 62, s)-Nets in Base 8
(15, 62, 65)-Net over F8 — Constructive and digital
Digital (15, 62, 65)-net over F8, using
- t-expansion [i] based on digital (14, 62, 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
(15, 62, 320)-Net in Base 8 — Upper bound on s
There is no (15, 62, 321)-net in base 8, because
- 1 times m-reduction [i] would yield (15, 61, 321)-net in base 8, but
- the generalized Rao bound for nets shows that 8m ≥ 12 699073 440426 408473 664893 376245 163564 561536 268819 838272 > 861 [i]