Best Known (27, 149, s)-Nets in Base 9
(27, 149, 78)-Net over F9 — Constructive and digital
Digital (27, 149, 78)-net over F9, using
- t-expansion [i] based on digital (22, 149, 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
(27, 149, 110)-Net over F9 — Digital
Digital (27, 149, 110)-net over F9, using
- t-expansion [i] based on digital (26, 149, 110)-net over F9, using
- net from sequence [i] based on digital (26, 109)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 26 and N(F) ≥ 110, using
- net from sequence [i] based on digital (26, 109)-sequence over F9, using
(27, 149, 593)-Net in Base 9 — Upper bound on s
There is no (27, 149, 594)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 15283 144241 075829 347376 619595 932781 653325 398419 981667 643395 768234 413073 316615 793701 970294 630647 860341 454760 617923 328266 732372 766168 762855 085265 > 9149 [i]