Best Known (124−34, 124, s)-Nets in Base 3
(124−34, 124, 246)-Net over F3 — Constructive and digital
Digital (90, 124, 246)-net over F3, using
- 31 times duplication [i] based on digital (89, 123, 246)-net over F3, using
- trace code for nets [i] based on digital (7, 41, 82)-net over F27, using
- net from sequence [i] based on digital (7, 81)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82, using
- net from sequence [i] based on digital (7, 81)-sequence over F27, using
- trace code for nets [i] based on digital (7, 41, 82)-net over F27, using
(124−34, 124, 410)-Net over F3 — Digital
Digital (90, 124, 410)-net over F3, using
(124−34, 124, 10825)-Net in Base 3 — Upper bound on s
There is no (90, 124, 10826)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 145758 731981 912171 621523 660228 282568 316509 267779 564111 820533 > 3124 [i]