Best Known (179, 245, s)-Nets in Base 3
(179, 245, 288)-Net over F3 — Constructive and digital
Digital (179, 245, 288)-net over F3, using
- t-expansion [i] based on digital (177, 245, 288)-net over F3, using
- 4 times m-reduction [i] based on digital (177, 249, 288)-net over F3, using
- trace code for nets [i] based on digital (11, 83, 96)-net over F27, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
- trace code for nets [i] based on digital (11, 83, 96)-net over F27, using
- 4 times m-reduction [i] based on digital (177, 249, 288)-net over F3, using
(179, 245, 761)-Net over F3 — Digital
Digital (179, 245, 761)-net over F3, using
(179, 245, 22907)-Net in Base 3 — Upper bound on s
There is no (179, 245, 22908)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 785 574140 844144 095885 034112 167528 904825 584366 615392 710566 165617 780323 091530 409875 853042 777746 074458 719424 306176 759545 > 3245 [i]