Best Known (160, 160+64, s)-Nets in Base 3
(160, 160+64, 282)-Net over F3 — Constructive and digital
Digital (160, 224, 282)-net over F3, using
- 1 times m-reduction [i] based on digital (160, 225, 282)-net over F3, using
- trace code for nets [i] based on digital (10, 75, 94)-net over F27, using
- net from sequence [i] based on digital (10, 93)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- net from sequence [i] based on digital (10, 93)-sequence over F27, using
- trace code for nets [i] based on digital (10, 75, 94)-net over F27, using
(160, 160+64, 574)-Net over F3 — Digital
Digital (160, 224, 574)-net over F3, using
(160, 160+64, 13954)-Net in Base 3 — Upper bound on s
There is no (160, 224, 13955)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 75066 866116 005229 894872 311244 545682 206435 670261 731451 570971 060817 241513 386252 296066 817602 067527 980806 704577 > 3224 [i]