Best Known (246−86, 246, s)-Nets in Base 3
(246−86, 246, 162)-Net over F3 — Constructive and digital
Digital (160, 246, 162)-net over F3, using
- t-expansion [i] based on digital (157, 246, 162)-net over F3, using
- 4 times m-reduction [i] based on digital (157, 250, 162)-net over F3, using
- trace code for nets [i] based on digital (32, 125, 81)-net over F9, using
- net from sequence [i] based on digital (32, 80)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 32 and N(F) ≥ 81, using
- F4 from the tower of function fields by Bezerra and GarcÃa over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 32 and N(F) ≥ 81, using
- net from sequence [i] based on digital (32, 80)-sequence over F9, using
- trace code for nets [i] based on digital (32, 125, 81)-net over F9, using
- 4 times m-reduction [i] based on digital (157, 250, 162)-net over F3, using
(246−86, 246, 330)-Net over F3 — Digital
Digital (160, 246, 330)-net over F3, using
(246−86, 246, 4486)-Net in Base 3 — Upper bound on s
There is no (160, 246, 4487)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 2358 422449 808579 713598 379216 018560 943976 580401 504388 782694 096061 946620 024883 667270 533030 709146 364926 780461 705611 191371 > 3246 [i]