Best Known (234−104, 234, s)-Nets in Base 4
(234−104, 234, 130)-Net over F4 — Constructive and digital
Digital (130, 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
(234−104, 234, 239)-Net over F4 — Digital
Digital (130, 234, 239)-net over F4, using
(234−104, 234, 3409)-Net in Base 4 — Upper bound on s
There is no (130, 234, 3410)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 771 734553 010196 045532 656384 700229 343713 724253 054343 724225 690659 099483 384130 161017 012816 390666 544035 883125 135871 523896 341871 286104 405173 711280 > 4234 [i]