Best Known (118, 118+76, s)-Nets in Base 4
(118, 118+76, 130)-Net over F4 — Constructive and digital
Digital (118, 194, 130)-net over F4, using
- t-expansion [i] based on digital (105, 194, 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
(118, 118+76, 305)-Net over F4 — Digital
Digital (118, 194, 305)-net over F4, using
(118, 118+76, 5903)-Net in Base 4 — Upper bound on s
There is no (118, 194, 5904)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 634 401312 713888 773441 508991 405444 975693 783107 388390 024672 047309 569606 272968 064902 247277 464320 363434 259937 208859 333704 > 4194 [i]