Best Known (26, 26+15, s)-Nets in Base 4
(26, 26+15, 98)-Net over F4 — Constructive and digital
Digital (26, 41, 98)-net over F4, using
- 1 times m-reduction [i] based on digital (26, 42, 98)-net over F4, using
- trace code for nets [i] based on digital (5, 21, 49)-net over F16, using
- net from sequence [i] based on digital (5, 48)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 5 and N(F) ≥ 49, using
- net from sequence [i] based on digital (5, 48)-sequence over F16, using
- trace code for nets [i] based on digital (5, 21, 49)-net over F16, using
(26, 26+15, 124)-Net over F4 — Digital
Digital (26, 41, 124)-net over F4, using
(26, 26+15, 3100)-Net in Base 4 — Upper bound on s
There is no (26, 41, 3101)-net in base 4, because
- 1 times m-reduction [i] would yield (26, 40, 3101)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 1 211019 336648 413649 050344 > 440 [i]