Best Known (105, 105+42, s)-Nets in Base 3
(105, 105+42, 246)-Net over F3 — Constructive and digital
Digital (105, 147, 246)-net over F3, using
- trace code for nets [i] based on digital (7, 49, 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
(105, 105+42, 403)-Net over F3 — Digital
Digital (105, 147, 403)-net over F3, using
(105, 105+42, 9470)-Net in Base 3 — Upper bound on s
There is no (105, 147, 9471)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 13718 294169 122579 973104 383208 336169 242240 598501 344495 766329 397066 719703 > 3147 [i]