Best Known (177−70, 177, s)-Nets in Base 4
(177−70, 177, 130)-Net over F4 — Constructive and digital
Digital (107, 177, 130)-net over F4, using
- t-expansion [i] based on digital (105, 177, 130)-net over F4, using
- net from sequence [i] based on digital (105, 129)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130, using
- T7 from the second tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130, using
- net from sequence [i] based on digital (105, 129)-sequence over F4, using
(177−70, 177, 273)-Net over F4 — Digital
Digital (107, 177, 273)-net over F4, using
(177−70, 177, 5110)-Net in Base 4 — Upper bound on s
There is no (107, 177, 5111)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 36944 829930 893223 512610 445625 345834 386391 055263 426042 252720 032222 447824 394785 765231 018058 762175 911664 890048 > 4177 [i]