Best Known (179−50, 179, s)-Nets in Base 3
(179−50, 179, 264)-Net over F3 — Constructive and digital
Digital (129, 179, 264)-net over F3, using
- 1 times m-reduction [i] based on digital (129, 180, 264)-net over F3, using
- trace code for nets [i] based on digital (9, 60, 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, 60, 88)-net over F27, using
(179−50, 179, 512)-Net over F3 — Digital
Digital (129, 179, 512)-net over F3, using
(179−50, 179, 13242)-Net in Base 3 — Upper bound on s
There is no (129, 179, 13243)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 25 398972 890605 540748 697362 649859 267111 840005 439785 833927 983323 976474 842392 409397 986951 > 3179 [i]