Best Known (140, 196, s)-Nets in Base 3
(140, 196, 264)-Net over F3 — Constructive and digital
Digital (140, 196, 264)-net over F3, using
- 31 times duplication [i] based on digital (139, 195, 264)-net over F3, using
- trace code for nets [i] based on digital (9, 65, 88)-net over F27, using
- net from sequence [i] based on digital (9, 87)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 88, using
- net from sequence [i] based on digital (9, 87)-sequence over F27, using
- trace code for nets [i] based on digital (9, 65, 88)-net over F27, using
(140, 196, 511)-Net over F3 — Digital
Digital (140, 196, 511)-net over F3, using
(140, 196, 12326)-Net in Base 3 — Upper bound on s
There is no (140, 196, 12327)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 3279 282010 902368 802033 142774 494641 180379 060506 420183 220131 265482 541897 624050 997500 582641 644489 > 3196 [i]