Best Known (202−90, 202, s)-Nets in Base 4
(202−90, 202, 130)-Net over F4 — Constructive and digital
Digital (112, 202, 130)-net over F4, using
- t-expansion [i] based on digital (105, 202, 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
(202−90, 202, 208)-Net over F4 — Digital
Digital (112, 202, 208)-net over F4, using
(202−90, 202, 2925)-Net in Base 4 — Upper bound on s
There is no (112, 202, 2926)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 41 630289 431430 877887 435791 206374 267161 496518 505630 247855 499909 376617 711589 647978 427596 854066 549021 007060 877708 802019 714425 > 4202 [i]