Best Known (13, 13+11, s)-Nets in Base 3
(13, 13+11, 32)-Net over F3 — Constructive and digital
Digital (13, 24, 32)-net over F3, using
- trace code for nets [i] based on digital (1, 12, 16)-net over F9, using
- net from sequence [i] based on digital (1, 15)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- net from sequence [i] based on digital (1, 15)-sequence over F9, using
(13, 13+11, 199)-Net in Base 3 — Upper bound on s
There is no (13, 24, 200)-net in base 3, because
- 1 times m-reduction [i] would yield (13, 23, 200)-net in base 3, but
- the generalized Rao bound for nets shows that 3m ≥ 95279 083281 > 323 [i]