Best Known (13, 13+32, s)-Nets in Base 27
(13, 13+32, 96)-Net over F27 — Constructive and digital
Digital (13, 45, 96)-net over F27, using
- t-expansion [i] based on digital (11, 45, 96)-net over F27, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
(13, 13+32, 100)-Net in Base 27 — Constructive
(13, 45, 100)-net in base 27, using
- 3 times m-reduction [i] based on (13, 48, 100)-net in base 27, using
- base change [i] based on digital (1, 36, 100)-net over F81, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- base change [i] based on digital (1, 36, 100)-net over F81, using
(13, 13+32, 136)-Net over F27 — Digital
Digital (13, 45, 136)-net over F27, using
- net from sequence [i] based on digital (13, 135)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 13 and N(F) ≥ 136, using
(13, 13+32, 2766)-Net in Base 27 — Upper bound on s
There is no (13, 45, 2767)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 25789 135931 553746 177646 015031 686870 062758 928512 232036 280350 938209 > 2745 [i]