Best Known (124, 226, s)-Nets in Base 4
(124, 226, 130)-Net over F4 — Constructive and digital
Digital (124, 226, 130)-net over F4, using
- t-expansion [i] based on digital (105, 226, 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
(124, 226, 221)-Net over F4 — Digital
Digital (124, 226, 221)-net over F4, using
(124, 226, 3039)-Net in Base 4 — Upper bound on s
There is no (124, 226, 3040)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 11788 015381 656370 323254 976983 782630 498561 938296 756315 617098 794945 509483 015325 649402 619087 621244 703285 366725 013926 203111 257373 253691 063250 > 4226 [i]