Best Known (112, 180, s)-Nets in Base 4
(112, 180, 130)-Net over F4 — Constructive and digital
Digital (112, 180, 130)-net over F4, using
- t-expansion [i] based on digital (105, 180, 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
(112, 180, 324)-Net over F4 — Digital
Digital (112, 180, 324)-net over F4, using
(112, 180, 6918)-Net in Base 4 — Upper bound on s
There is no (112, 180, 6919)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2 358419 940283 851526 663883 932330 151522 746733 874581 571632 615770 137877 090930 476023 653946 643888 159301 119986 751064 > 4180 [i]