Best Known (73, 149, s)-Nets in Base 9
(73, 149, 165)-Net over F9 — Constructive and digital
Digital (73, 149, 165)-net over F9, using
- t-expansion [i] based on digital (64, 149, 165)-net over F9, using
- net from sequence [i] based on digital (64, 164)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 64 and N(F) ≥ 165, using
- T4 from the second 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) = 64 and N(F) ≥ 165, using
- net from sequence [i] based on digital (64, 164)-sequence over F9, using
(73, 149, 253)-Net over F9 — Digital
Digital (73, 149, 253)-net over F9, using
(73, 149, 10336)-Net in Base 9 — Upper bound on s
There is no (73, 149, 10337)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 15238 546934 967885 039972 434673 687155 009503 726061 179337 170051 768466 380191 916596 290973 314061 478452 143960 849051 427992 564488 108462 881244 107998 844657 > 9149 [i]