Best Known (121, 121+122, s)-Nets in Base 4
(121, 121+122, 130)-Net over F4 — Constructive and digital
Digital (121, 243, 130)-net over F4, using
- t-expansion [i] based on digital (105, 243, 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, 121+122, 169)-Net over F4 — Digital
Digital (121, 243, 169)-net over F4, using
(121, 121+122, 1915)-Net in Base 4 — Upper bound on s
There is no (121, 243, 1916)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 202 037034 014158 463253 732015 745500 349114 290405 349005 765762 319272 635547 619180 732293 314229 480945 406430 211156 777662 431435 664138 091850 342302 475562 904880 > 4243 [i]