Best Known (236−108, 236, s)-Nets in Base 4
(236−108, 236, 130)-Net over F4 — Constructive and digital
Digital (128, 236, 130)-net over F4, using
- t-expansion [i] based on digital (105, 236, 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
(236−108, 236, 220)-Net over F4 — Digital
Digital (128, 236, 220)-net over F4, using
(236−108, 236, 2945)-Net in Base 4 — Upper bound on s
There is no (128, 236, 2946)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 12286 398995 398648 634721 406311 196889 130524 856004 373904 047980 615770 688109 648514 634464 745914 310397 002570 128705 703261 950464 681415 975100 022963 940928 > 4236 [i]