Best Known (136, 208, s)-Nets in Base 3
(136, 208, 162)-Net over F3 — Constructive and digital
Digital (136, 208, 162)-net over F3, using
- trace code for nets [i] based on digital (32, 104, 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
(136, 208, 293)-Net over F3 — Digital
Digital (136, 208, 293)-net over F3, using
(136, 208, 4042)-Net in Base 3 — Upper bound on s
There is no (136, 208, 4043)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 1754 159561 585473 488241 232743 938617 450620 031748 501493 016059 781092 375933 697594 502297 049498 477423 662745 > 3208 [i]