Best Known (203−82, 203, s)-Nets in Base 4
(203−82, 203, 130)-Net over F4 — Constructive and digital
Digital (121, 203, 130)-net over F4, using
- t-expansion [i] based on digital (105, 203, 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
(203−82, 203, 287)-Net over F4 — Digital
Digital (121, 203, 287)-net over F4, using
(203−82, 203, 5115)-Net in Base 4 — Upper bound on s
There is no (121, 203, 5116)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 166 033485 951678 165832 011521 756934 479714 962266 163223 804240 925311 010810 388317 566730 624734 624763 578977 079616 758676 072814 369843 > 4203 [i]