Best Known (204−94, 204, s)-Nets in Base 4
(204−94, 204, 130)-Net over F4 — Constructive and digital
Digital (110, 204, 130)-net over F4, using
- t-expansion [i] based on digital (105, 204, 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
(204−94, 204, 189)-Net over F4 — Digital
Digital (110, 204, 189)-net over F4, using
(204−94, 204, 2474)-Net in Base 4 — Upper bound on s
There is no (110, 204, 2475)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 667 818373 489523 649608 797987 084688 846058 111263 961041 547023 968013 243844 807248 811503 481537 627419 246611 829180 291272 015737 618688 > 4204 [i]