Best Known (141, 225, s)-Nets in Base 3
(141, 225, 156)-Net over F3 — Constructive and digital
Digital (141, 225, 156)-net over F3, using
- 13 times m-reduction [i] based on digital (141, 238, 156)-net over F3, using
- trace code for nets [i] based on digital (22, 119, 78)-net over F9, using
- net from sequence [i] based on digital (22, 77)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- F3 from the tower of function fields by GarcÃa and Stichtenoth over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- net from sequence [i] based on digital (22, 77)-sequence over F9, using
- trace code for nets [i] based on digital (22, 119, 78)-net over F9, using
(141, 225, 253)-Net over F3 — Digital
Digital (141, 225, 253)-net over F3, using
(141, 225, 2928)-Net in Base 3 — Upper bound on s
There is no (141, 225, 2929)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 225396 883587 697423 232661 583661 879095 743758 487765 270427 897065 239588 594490 161270 731550 493012 607845 617506 817673 > 3225 [i]