Best Known (98, 98+38, s)-Nets in Base 3
(98, 98+38, 246)-Net over F3 — Constructive and digital
Digital (98, 136, 246)-net over F3, using
- 31 times duplication [i] based on digital (97, 135, 246)-net over F3, using
- trace code for nets [i] based on digital (7, 45, 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, 45, 82)-net over F27, using
(98, 98+38, 410)-Net over F3 — Digital
Digital (98, 136, 410)-net over F3, using
(98, 98+38, 10294)-Net in Base 3 — Upper bound on s
There is no (98, 136, 10295)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 77478 210271 840303 923400 659443 197215 228052 191772 849419 917143 451835 > 3136 [i]