Best Known (120, 230, s)-Nets in Base 4
(120, 230, 130)-Net over F4 — Constructive and digital
Digital (120, 230, 130)-net over F4, using
- t-expansion [i] based on digital (105, 230, 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
(120, 230, 187)-Net over F4 — Digital
Digital (120, 230, 187)-net over F4, using
(120, 230, 2297)-Net in Base 4 — Upper bound on s
There is no (120, 230, 2298)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2 988669 198000 578087 662615 020969 305196 828756 944918 843229 654153 003730 832936 860238 407588 383204 993265 602433 804355 364261 779688 257518 854394 762780 > 4230 [i]