Best Known (126, 222, s)-Nets in Base 4
(126, 222, 130)-Net over F4 — Constructive and digital
Digital (126, 222, 130)-net over F4, using
- t-expansion [i] based on digital (105, 222, 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
(126, 222, 249)-Net over F4 — Digital
Digital (126, 222, 249)-net over F4, using
(126, 222, 3764)-Net in Base 4 — Upper bound on s
There is no (126, 222, 3765)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 45 850090 656833 435046 911670 026101 105430 876270 695496 776618 655502 887325 859740 695838 314739 744623 172873 694103 111692 654198 628704 255822 086649 > 4222 [i]