Best Known (121, 199, s)-Nets in Base 4
(121, 199, 130)-Net over F4 — Constructive and digital
Digital (121, 199, 130)-net over F4, using
- t-expansion [i] based on digital (105, 199, 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
(121, 199, 311)-Net over F4 — Digital
Digital (121, 199, 311)-net over F4, using
(121, 199, 6026)-Net in Base 4 — Upper bound on s
There is no (121, 199, 6027)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 648037 817904 181121 981215 552502 987317 287681 246975 754565 966123 314235 181184 408541 162606 211630 961378 662340 333956 297694 150528 > 4199 [i]