Best Known (124, 234, s)-Nets in Base 4
(124, 234, 130)-Net over F4 — Constructive and digital
Digital (124, 234, 130)-net over F4, using
- t-expansion [i] based on digital (105, 234, 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, 234, 201)-Net over F4 — Digital
Digital (124, 234, 201)-net over F4, using
(124, 234, 2546)-Net in Base 4 — Upper bound on s
There is no (124, 234, 2547)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 773 066236 293253 117111 315056 761239 381955 292131 879791 593044 533271 941157 865408 331795 670670 440308 933292 751146 095009 281719 995641 584917 537212 250240 > 4234 [i]