Best Known (109, 175, s)-Nets in Base 4
(109, 175, 130)-Net over F4 — Constructive and digital
Digital (109, 175, 130)-net over F4, using
- t-expansion [i] based on digital (105, 175, 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
(109, 175, 318)-Net over F4 — Digital
Digital (109, 175, 318)-net over F4, using
(109, 175, 6811)-Net in Base 4 — Upper bound on s
There is no (109, 175, 6812)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2296 074761 448043 597427 172877 133517 800584 511230 800247 991395 725492 762824 765557 025851 111697 938202 893725 450340 > 4175 [i]