Best Known (239−106, 239, s)-Nets in Base 4
(239−106, 239, 130)-Net over F4 — Constructive and digital
Digital (133, 239, 130)-net over F4, using
- t-expansion [i] based on digital (105, 239, 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
(239−106, 239, 245)-Net over F4 — Digital
Digital (133, 239, 245)-net over F4, using
(239−106, 239, 3517)-Net in Base 4 — Upper bound on s
There is no (133, 239, 3518)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 781287 185157 032132 297186 053811 458871 768571 260633 986844 922368 050581 239541 365284 574938 362666 873074 205195 782336 675927 984290 831657 479232 932789 792535 > 4239 [i]