Best Known (15, 26, s)-Nets in Base 3
(15, 26, 40)-Net over F3 — Constructive and digital
Digital (15, 26, 40)-net over F3, using
- trace code for nets [i] based on digital (2, 13, 20)-net over F9, using
- net from sequence [i] based on digital (2, 19)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 2 and N(F) ≥ 20, using
- net from sequence [i] based on digital (2, 19)-sequence over F9, using
(15, 26, 312)-Net in Base 3 — Upper bound on s
There is no (15, 26, 313)-net in base 3, because
- 1 times m-reduction [i] would yield (15, 25, 313)-net in base 3, but
- the generalized Rao bound for nets shows that 3m ≥ 860013 499107 > 325 [i]